Acest site este cofinantat din Fondul Social European prin Programul Operational Sectorial Dezvoltarea Resurselor Umane 2007-2013


Sandovici Adrian
Universitatea Alexandru Ioan Cuza, Iasi
Anul Nasterii : 1971
Interese : Operatori multivaluati in spatii dotate cu produs interior; Spatii Lagrange si Hamilton; Structuri Dirac pe spatii infinit dimensionale; Modele matematice de tip Volterra-Lotka-Hamilton multiparametrizate.
Detalii (ro) :
Educație

Doctor în Matematică: 23 Iunie 2006
Institutul de Matematică, Universitatea din Groningen, Olanda
Titlul tezei: “Contributions to the extension theory in Hilbert spaces”
Îndrumător științific: Prof. Dr. Henk de Snoo

Doctor în Matematică: August 2001
Facultatea de Matematică, Universitatea din Iași
Teză: “Teorii gauge în spații Lagrange”
Îndrumător științific: Prof. Dr. Doc. Radu Miron

Master în Matematică,
Specialitatea “Structuri Fundamentale”: 1995 – 1996
Facultatea de Matematică, Universitatea din Iași
Titlul disertației: “Modelul local Minkowski al relativității generale”
Îndrumător științific: Prof. Dr. Mihai Anastasiei

Studii universitare: 1990 – 1995
Facultatea de Matematică, Universitatea din Iași, Romania
Licențiat în Matematică; media generală a examenului de licență: 9.82
Titlul proiectului de finalizare a studiilor:
“Câmpuri Jacobi fields pe spații Riemann”
Îndrumător științific: Prof. Dr. Vasile Oproiu

Studii generale: 1985 – 1989
Liceul “Nicu Gane” din Fălticeni, Romania
Media generală la examenul de Bacalaureat: 9.87 (șef de promoție)

Premii și distincții

2002-2006
Bursă de studii acordată de statul olandez

1991 – 1995
Bursă națională de merit, Universitatea din Iași

1985 – 1989
Diverse premii și mențiuni la Etapa Naționala a Olimpiadei de Matematică

Limbi străine cunoscute

Engleză: scris, citit, vorbit: foarte bine
Franceză: scris, citit: bine, vorbit: elemente de bază
Olandeză: scris, citit, vorbit: elemente de bază.
Am absolvit primele 3 nivele (din 4) ale cursului de olandeză pentru cetățenii străini organizat de Facultatea de Litere a Universitații din Groningen: 2004 - 2005
Rusă: citit (texte științifice)

Tehnologii informatice

Limbaje de programare: Pascal, C
Sisteme de operare: Linux, Microsoft Windows, MS DOS
Web-design: HTML, CSS, JavaScript
Aplicații: Emacs, Latex, Mathematica, Maple, MS Office, SPSS, etc

Servicii

Referent pentru Zentralblatt MATH (din 2002)
Referent pentru Mathematical Reviews (din 2006)
Referent pentru jurnalele:
“Journal of Nonlinear Analysis Series A: Theory, Methods & Applications”
“Central European Journal of Mathematics”
“Journal of Operator Theory”
“ Publicationes Mathematicae Debrecen”
„SIGMA”
„Demonstratio Mathematica”

Domenii de interes științific

Teoria operatorilor:
Operatori (perechi de operatori) multivaluați în spații dotate cu produs interior

Teoria controlului:
Interconexiunea structurilor Dirac și autoadjuncte în spații infinit dimensionale
Geometrie diferențială:
Geometria spațiilor dotate cu metrici generalizate
Geometria spațiilor Lagrange de ordin superior

Metodica predării matematicii


Participări la conferințe internaționale

Workshop on Boundary relations, from 14 Dec 2009 through 18 Dec 2009,
Lorentz Center - International Center for workshops in the Sciences, Leiden.
Titlul lucrării prezentate:
“Commutation properties of non-negative operators”

ICMI2, Bacau, September 8-10 2009
Titlul lucrării prezentate: “ An index formula for the product of linear relations”.

„8th Workshop Operator Theory in Krein Spaces and Inverse Problems”, December 18-21, 2008, TU Berlin, Germany;
Titlul lucrării prezentate: “Spectral analysis of linear relations using Ascent, Descent, Nullity and Defect”.

A XII-a CONFERINȚĂ ANUALĂ A SSMR, Bacău, 17-19 octombrie 2008
Titlul lucrărilor prezentate: „On the factorization of maximal sectorial extensions”, și
„Două metode de obținere a unor inegalități”.

„7th Workshop Operator Theory in Krein Spaces and Spectral Analysis”, December 13-16, 2007, TU Berlin, Germany;
Titlul lucrării prezentate: “Invariant Nonnegative Relations in Hilbert Spaces”.

Conferința Națională de Matematică și Informatică CNMI 2007, Bacău, 16-17 noiembrie 2007. Titlul lucrării prezentate: “On non-negative selfadjoint extensions of a non-negative relation”
10th Quantum Mathematics International Conference, Moeciu, Romania, September 10-15, 2007; Titlul lucrării prezentate: „On μ - scale invariant linear relations”.

International Conference on Theory and Applications of Mathematics and Informatics (ICTAMI 2007), August 30-September 2, Alba Iulia, Romania. Titlul lucrării prezentate: “On non-negative selfadjoint extensions in Hilbert spaces”

The 6th Workshop Operator Theory in Krein
December 16-18, 2006, TU Berlin, Germany;
Titlul lucrării prezentate:
“Composition of Dirac structures for infinite-dimensional systems”

ICMI 45
September , 2006, Bacău, România;
Titlul lucrării prezentate:
“Quasi-Fredholm relations in Hilbert spaces”

The 21st Conference on Operator Theory,
June 28 – July 4, 2006, Timisoara, Romania;
Titlul lucrării prezentate:
“The Kato decomposition of quasi-Fredholm relations in Hilbert spaces”

The 5th Workshop Operator Theory in Krein
December 16-18, 2005, TU Berlin, Germany;
Titlul lucrării prezentate:
“A factorization approach to the extension theory of sectorial linear relations”

International Conference on Complex Analysis and Related Topics.
The Xth Romanian-Finnish Seminar,
August 14-19, 2005, Cluj-Napoca, Romania;
Titlul lucrării prezentate:
“The form sum of sectorial relations”

Algorithmic Information Theory Conference,
May 16-18, 2005, Vaasa, Finland;
Titlul lucrării prezentate:
“Ascent, descent, nullity, defect for linear relations in linear spaces”

The 4th Workshop on Operator Theory in Krein Spaces and Applications,
December 17-19, 2004, TU Berlin, Germany;
Titlul lucrării prezentate:
“Degenerate Inner Product Spaces”

The 7th International of Tensor Society on Differential Geometry &
Its Applications and Mathematical Foundations of Information Sciences &
Its Applications, August 23-28, 2004, Timisoara, Romania;
Titlul lucrării prezentate:
“Generalized Beil metrics on Finsler spaces”

The 20th Conference on Operator Theory,
June 30 – July 5, 2004, Timisoara, Romania;
Titlul lucrării prezentate:
“The structure of linear relations in Euclidean spaces”

The Sixth International Workshop on Differential Geometry and
its Applications, September 1-6, 2003, Cluj-Napoca, Romania;
Titlul lucrării prezentate:
“On a class of Beil metrics on Cartan spaces”

Workshop on Finsler Geometry and Applications,
August 11-15, 2003, Debrecen, Hungary;
Titlul lucrării prezentate:
“Some exotic geometrical structures on tangent bundle”

International Conference on Differential Geometry,
August 25-31, 2002, Iasi, Romania;
Titlul lucrării prezentate:
“On a framed f-structure on tangent manifold of a Riemannian space”


Lista publicațiilor

Teze

“Contributions to the extension theory in Hilbert spaces”,
Teză de doctorat, Universitatea din Groningen, 2006, 193 pagini.

“Teorii gauge în spații Lagrange”,
Teză de doctorat, Universitatea din Iași, 2001, 330 pagini.

“Modelul local Minkowski al relativității generale”,
Disertație de master, Universitatea din Iași, 1996.

Cărți

A. Sandovici.
Noțiuni elementare de teoria codurilor,
Editura Pim, Iași, 2008, 118 pagini,
ISBN 978-606-520-125-5.

A. Sandovici.
Antrenament Matematic pentru Concursurile Școlare,
Editura EduCart, Bacău, 2008, 112 pagini,
ISBN 978-973-88330-8-1.

A. Sandovici.
Antrenament Matematic pentru Testele Naționale,
Editura EduSoft, Bacău, 2007, 112 pagini,
ISBN 973-8934-57-5.

A. Sandovici.
Contributions to the extension theory in Hilbert spaces,
Editura Universității din Groningen, 2006, 193 pagini,
ISBN 90-367-2644-1.

A. Sandovici.
Matematică pentru Capacitate,
Editura Alfa, Piatra Neamț, 2002, 122 pagini,
ISBN 973-85209-3-2.


Articole științifice

2010

[49] J.-Ph. Labrousse, A. Sandovici, H.S.V. de Snoo, and H. Winkler,
"The Kato decomposition of quasi-Fredholm relations",
Operators and Matrices, 4 (2010), pag. 1-51.
(Jurnal cotat ISI)

2009

[48] A. Sandovici, H. de Snoo.
An index formula for the product of linear relations.
Linear Algebra and Its Applications, 431 (2009), pp. 2160-2171.
(Jurnal cotat ISI)

[47] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
One-dimensional Perturbations, Asymptotic Expansions, and Spectral Gaps.
Operator Theory: Advances and Applications, Volume 188,
"Spectral Theory in Inner Product Spaces and Applications",
Birkhäuser Basel, 2009, 149-173.

[46] A. Sandovici.
On a Kreĭn Criterion.
Operator Theory: Advances and Applications, Volume 188,
"Spectral Theory in Inner Product Spaces and Applications",
Birkhäuser Basel, 2009, 237-243.

2008

[45] A. Sandovici,
Characterizations of Nonnegative Selfadjoint Extensions,
Acta Universitatis Apulensis, no 15/2008, 397-404.

2007

[44] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
A general factorization approach to the extension theory
of nonnegative operators and relations.
Journal of Operator Theory, vol. 58, no. 2 (2007), 351–386.
(Jurnal cotat ISI)

[43] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Extremal extensions for the sum of nonnegative selfadjoint relations.
Proceedings of the American Mathematical Society,
vol. 135 (2007), 3193-3204.
(Jurnal cotat ISI)


[42] A. Sandovici, H. de Snoo, H. Winkler.
Ascent, descent, nullity, defect, and related notions for linear relations
in linear spaces.
Linear Algebra and its Applications,
vol. 423, no. 2-3, 1 June 2007, 456-497.
(Jurnal cotat ISI)

[41] A. Sandovici.
On polynomials in a linear relation.
Proceedings of the 4th Workshop on Operator Theory in Krein Spaces
and Applications, Berlin, December 17-19, 2004.
In volume Operator Theory in Inner Product Spaces, Series: OTAA,
Vol. 175, Förster, K.-H.; Jonas, P.; Langer, H.; Trunk, C. (Eds.)
2007, VI, 240 p., ISBN: 978-3-7643-8269-8, 231-240.
[40] A. Sandovici, V. Blanuta,
Generalized Beil metric on Finsler spaces.
Libertas Mathematica, vol. XXVII (2007), 65-72.

2006

[39] A. Sandovici.
Lagrangian pairs in Hilbert spaces.
Methods of Functional Analysis and Topology, vol. 12, no. 1, 2006, 82-100.

[38] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Form sums of nonnegative selfadjoint operators.
Acta Mathematica Hungarica, vol. 111, no. 1-2, 2006, 81-105.
(Jurnal cotat ISI)

[37] J.-Ph. Labrousse, A. Sandovici, H. de Snoo, H. Winkler.
Quasi-Fredholm relations in Hilbert spaces,
Studii si Cercetari Stiintifice, No. 16 (2006), 93-106.

2005

[36] A. Sandovici, H. de Snoo, H. Winkler.
The structure of linear relations in Euclidean spaces.
Linear Algebra and its Applications, vol. 397, 2005, 141-169.
(Jurnal cotat ISI)

[35] A. Sandovici,
A smooth gauge model on tangent manifold,
Rendiconti del Seminario Matematico Torino, vol. 63, no.3, 2005, 255-282.

[34] M. Mocanu, A. Sandovici.
On the convergence of a sequence generated by an integral.
Creative Mathematics, vol. 14, 2005, 31-42.



[33] A. Sandovici, V. Blanuta.
Generalized Beil metric on Cartan spaces.
Tensor (N.S.), vol. 66, no.1, 2005, 34-43.

[32] O.V. Iftime, A. Sandovici, G. Golo.
Tools for analysis of Diracv Structures on Banach Spaces.
44th IEEE Conference on Decision and Control and
European Control Conference,
December 12-15, 2005, Sevilla, Spain, 3856-3861.

[31] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Extremal extensions of nonnegative linear relations.
Proceedings of AIT05, May 16-18, 2005, Vaasa, Finland, 57-66.

[30] A. Sandovici, H. de Snoo, H. Winkler.
Ascent, descent, nullity, and defect for linear relations.
Proceedings of AIT05, May 16-18, 2005, Vaasa, Finland, 177-184.

[29] A. Sandovici.
A generalization of Yang Mills theory on the bundle of accelerations.
Studii si Cercetari Stiintifice, No. 15 (2005), 153-160.

2004

[28] A. Sandovici.
Two remarkable connections associated with a Beil metric on
Cartan spaces.
Radovi Matematicki, 12 (2004), 189-203.

[27] A. Sandovici, V. Blanuta.
On a framed f - structure on tangent manifold of a Riemannian Space.
Libertas Mathematica, vol. XXIV (2004), 21-28.

[26] A. Sandovici.
A class of almost complex structures on tangent manifold.
Studii si Cercetari Stiintifice, No. 14 (2004), 171-178.

[25] A. Sandovici.
Canonical regular extensions of symmetric linear relations.
Proceedings of the 20th Conference in Operator Theory,
June 30 – July 5, 2004,
Timisoara, Romania, Theta Publishing House, 207-221.

[24] A. Sandovici and V. Blanuta. Beil metrics on Cartan spaces.
In vol. "Recent advances in geometry and topology".
D. Andrica and P. Blaga (Eds.).
Cluj University Press, 2004, 353-363.


2003

[23] A. Sandovici.
On the homogeneous geometrical model of a Riemannian space.
Acta Mathematica Nyiregyhaziensis, 19 (2003), 245-253.

[22] A. Sandovici.
A Rheonomic gauge theory.
Carpathian J. Math., 19 (2003), No. 2, 111-134.

[21] A. Sandovici, V. Blanuta.
Homogeneous 2-pi metrical structures on T2M manifold.
Bull. Malays. Math. Sci. Soc. (2), 26 (2003), 163-174.

[20] A. Sandovici.
Implications of homogeneity in Miron's sense in gauge theories of
second order.
In vol. Finsler and Lagrange Geometries: Proceedings of a
Conference Held on August 26-31, 2001, in Iasi, Romania,
Kluwer Acad. Pub., 2003, 277-285.

[19] A. Sandovici.
Levi-Civita connection on second order tangent bundle.
Studii Si Cercetari Stiintifice, No. 13 (2003), 145-156.

2002

[18] A. Sandovici.
Conservation laws in higher order Lagrange spaces.
Mathematica, Cluj, Tome 44(67), No. 1 (2002), 77-86.

[17] A. Sandovici.
A class of solutions for EYM equations.
Proceedings of BGL3, Targu Mures, Romania (2002), 25-30.

[16] A. Sandovici.
Considerations on the Geometry of the Sphere Bundle.
Studii Si Cercetari Stiintifice, No. 12 (2002), 207-220.

2001

[15] A. Sandovici.
Differential operators on bundle of accelerations in homogeneous approach.
Proceedings of the Centennial "G. Vranceanu", Part II (Bucharest, 2000).
An. Univ. Bucure sti Mat. Inform. 50 (2001), no. 2, 163—172.

[14] A. Sandovici.
A Generalization of Yang Mills Theory in Higher Order Gauge Approach.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul III, Fascicola 5, 2001, 150-155.

[13] A. Sandovici.
Differential Operators on Bundle of Accelerations in
Homogeneous approach.
Buletinul Stiintific al Universitatii din Baia Mare,
Vol. XVII, no. 1-2, 2001, 117-126.

[12] A. Sandovici.
Strength fields and Lagrangians on GOSC(2)(M).
Analele Universitatii ''Al. I. Cuza'', Iasi,
Tomul XLVII, s.I a, Matematica, 2001, f.2, 213-228.

[11] A. Sandovici.
Generalized Asanov Equations of Second Order.
Studii Si Cercetari Stiintifice, Nr. 11 (2001), 213-218.

2000

[10] A. Sandovici.
Gauge Bianchi Identities in Higher Order Lagrange Spaces.
Balkan Journal of Geometry and Its Applications,
vol. 5, no. 1, 2000, 141-148.

[9] A. Sandovici.
D - Connections Compatible with a Class of Metrical Almost 2-pi
Structures on TM.
Differential Geometry - Dynamical Systems, vol. 2, no. 1, 2000, 36-42.

[8] A. Sandovici.
A Generalization of Electromagnetic Field Theory in
Higher Order Lagrange Spaces.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul II, Fascicola 5, 2000, 72-81.

[7] A. Sandovici.
A Gauge Theory of Second Order in Munteanu-Ikeda Approach.
Studii si Cercetari Stiintifice, No. 10 (2000), 255-278.

[6] A. Sandovici, V. Blanuta.
A Class of Metrical Almost 2-pi Structures on Tangent Bundle.
Algebras, Groups and Geometries, 17(3), 2000, 331-340.

1999

[5] A. Sandovici.
Rheonomic Gauge-Invariant Lagrangians, Proceedings of
the 7-th Conference on Applied and Industrial Mathematics, CAIM' 99,
University of Pitesti, October, 15-17, 1999, 199- 211.


[4] A. Sandovici.
Rheonomic Gauge Non-linear Connections and Semisprays.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul I, Fascicola 4, 1999, 121-128.

[3] A. Sandovici.
Equations of Motion and Conservation Laws in Rheonomic Gauge
Lagrange Approach.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul I, Fascicola 7, 1999, 69-80.

[2] A. Sandovici.
Deformation of Second Order of Riemannian Spaces.
Studii si Cercetari Stiintifice, No. 9 (1999), 187-202.

1998

[1] A. Sandovici.
On a Class of Generalized Lagrange Spaces of Second Order.
Analele Universitatii ''Dunarea de Jos'', Galati, vol. XVI, f.2, 1998, 31-40.


Detalii (en) :
Graduate / Post graduate education

Doctor of Philosophy (Mathematics); 2002 – 2006
Department of Mathematics , University of Groningen, The Netherlands
Thesis: “Contributions to the extension theory in Hilbert spaces”
Advisor: Prof. Dr. Henk de Snoo

Doctor of Philosophy (Mathematics); 1996 – 2001
Department of Mathematics , University of Iasi, Romania
Thesis: “Gauge theories in Lagrange spaces”
Advisor: Prof. Dr. Doc. Radu Miron

Master of Science (Mathematics / Speciality: Fundamental Sructures); 1995 – 1996
Department of Mathematics, University of Iasi, Romania
Dissertation: “The local Minkowski model of General Relativity”
Advisor: Prof. Dr. Mihai Anastasiei

Bachelor of Science (Mathematics); 1990 – 1995
Department of Mathematics, University of Iasi, Romania.
Graduated with a CPI (Cumulative Performance Index) of 9.82 (nine point 82%) out of 10
Project: “Jacobi fields on Riemannian spaces”
Advisor: Prof. Dr. Vasile Oproiu


Prizes and Distinctions

1995: Diploma with Honours, University of Iasi, Romania

1991 – 1995: National Merit Scholarship, University of Iasi, Romania

1985 – 1989: 1st and 2nd Prizes in the Romanian National Phase of
the Scientific Meetings for Students, Romania


Communication skills

English: fluent
Dutch: Basic (Completed Level 3 at University of Groningen, 2005)
French: basic
Romanian: native


Information technology skills

Programming languages: Pascal, C
Operating systems: Linux, Microsoft Windows, MS DOS
Web-design: HTML, JavaScript
Other development tools: Emacs, Latex, Mathematica, Maple, MS Office, etc



Services

Reviewer for Zentralblatt MATH and Mathematical Reviews
Referee for:
“Journal of Nonlinear Analysis Series A: Theory, Methods & Applications”,
“Central European Journal of Mathematics”
“Journal of Operator Theory”
“ Publicationes Mathematicae Debrecen”
„SIGMA”
„Demonstratio Mathematica”


Research interests:

Functional Analysis:
Lagrangian pairs in Hilbert spaces
Linear relations (multi-valued operators) in inner-product spaces:
Structure of linear relations
Special subspaces associated with linear relations
Semi bounded linear relations and corresponding forms
Sectorial linear relations
Quasi-Fredholm linear relations

Control Theory:
Interconnection of Dirac and selfadjoint structures
Differential Geometry:
The geometry of Lagrange and Hamilton spaces:
Generalized Beil metrics on Finsler and Cartan spaces
The geometry of Lagrange and Hamilton spaces
Time-dependent Finsler geometry

The geometry of higher order Lagrange spaces:
Gauge theories on higher order Lagrange spaces
Almost higher order contact structures
Almost normal and quasi-normal structures on higher order tangent bundle



Talks at international conferences

Workshop on Boundary relations, from 14 Dec 2009 through 18 Dec 2009,
Lorentz Center - International Center for workshops in the Sciences, Leiden.
Title of the talk:
“Commutation properties of non-negative operators”

ICMI2, Bacau, September 8-10 2009
Title of the talk:
“ An index formula for the product of linear relations”.

„8th Workshop Operator Theory in Krein Spaces and Inverse Problems”, December 18-21, 2008, TU Berlin, Germany;
Title of the talk:
“Spectral analysis of linear relations using Ascent, Descent, Nullity and Defect”.

„7th Workshop Operator Theory in Krein Spaces and Spectral Analysis”,
December 13-16, 2007, TU Berlin, Germany;
Title of the talk:
“Invariant Nonnegative Relations in Hilbert Spaces”.

CNMI 2007, 16-17 november 2007, Bacău, Romania.
Title of the talk:
“On non-negative selfadjoint extensions of a non-negative relation”

10th Quantum Mathematics International Conference, Moeciu, Romania,
September 10-15, 2007;
Title of the talk:
„On μ - scale invariant linear relations”.

International Conference on Theory and Applications of Mathematics and Informatics (ICTAMI 2007), August 30-September 2, Alba Iulia, Romania.
Title of the talk:
“On non-negative selfadjoint extensions in Hilbert spaces”

The 6th Workshop Operator Theory in Krein
December 16-18, 2006, TU Berlin, Germany;
Title of the talk:
“Composition of Dirac structures for infinite-dimensional systems”

ICMI 45
September , 2006, Bacău, România;
Title of the talk:
“Quasi-Fredholm relations in Hilbert spaces”

The 21st Conference on Operator Theory,
June 28 – July 4, 2006, Timisoara, Romania;
Title of the talk:
“The Kato decomposition of quasi-Fredholm relations in Hilbert spaces”

The 5th Workshop Operator Theory in Krein Spaces and Differential Equations,
December 16-18, 2005, TU Berlin, Germany;
Title of the talk:
“A factorization approach to the extension theory of sectorial linear relations”

International Conference on Complex Analysis and Related Topics.
The Xth Romanian-Finnish Seminar, August 14-19, 2005, Cluj-Napoca, Romania;
Title of the talk: “The form sum of sectorial relations”

Algorithmic Information Theory, Conference, May 16-18, 2005, Vaasa, Finland;
Title of the talk: “Ascent, descent, nullity, defect for linear relations”

The 4th Workshop on Operator Theory in Krein Spaces and Applications,
December 17-19, 2004, TU Berlin, Germany;
Title of the talk: “Degenerate Inner Product Spaces”

The 7th International of Tensor Society on Differential Geometry & Its Applications
and Mathematical Foundations of Information Sciences & Its Applications, August 23-28, 2004, Timisoara, Romania;
Title of the talk: “Generalized Beil metrics on Finsler spaces”

The 20th Conference on Operator Theory, June 30 – July 5, 2004,
Timisoara, Romania;
Title of the talk: “The structure of linear relations in Euclidean spaces”

The Sixth International Workshop on Differential Geometry and its Applications,
September 1-6, 2003, Cluj-Napoca, Romania;
Title of the talk: “On a class of Beil metrics on Cartan spaces”

Workshop on Finsler Geometry and Applications, August 11-15, 2003,
Debrecen, Hungary;
Title of the talk: “Some exotic geometrical structures on tangent bundle”




Publication List
[49] J.-Ph. Labrousse, A. Sandovici, H.S.V. de Snoo, and H. Winkler,
"The Kato decomposition of quasi-Fredholm relations",
Operators and Matrices, 4 (2010), pag. 1-51.

[48] A. Sandovici, H. de Snoo.
An index formula for the product of linear relations.
Linear Algebra and Its Applications, 431 (2009), pp. 2160-2171.

[47] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
One-dimensional Perturbations, Asymptotic Expansions,
and Spectral Gaps.
Operator Theory: Advances and Applications, Volume 188,
"Spectral Theory in Inner Product Spaces and Applications",
Birkhäuser Basel, 2009, 149-173.

[46] A. Sandovici.
On a Kreĭn Criterion.
Operator Theory: Advances and Applications, Volume 188,
"Spectral Theory in Inner Product Spaces and Applications",
Birkhäuser Basel, 2009, 237-243.

[45] A. Sandovici,
Characterizations of Nonnegative Selfadjoint Extensions,
Acta Universitatis Apulensis, no 15/2008, 397-404.

[44] A. Sandovici, V. Blanuta,
Generalized Beil metric on Finsler spaces.
Libertas Mathematica, vol. XXVII (2007), 65-72.

[43] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
A general factorization approach to the extension theory
of nonnegative operators and relations.
Journal of Operator Theory, vol. 58, no. 2 (2007), 351–386.

[42] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Extremal extensions for the sum of nonnegative selfadjoint relations.
Proceedings of the American Mathematical Society,
vol. 135 (2007), 3193-3204.

[41] A. Sandovici, H. de Snoo, H. Winkler.
Ascent, descent, nullity, defect, and related notions for linear relations
in linear spaces.
Linear Algebra and its Applications,
vol. 423, no. 2-3, 1 June 2007, 456-497.

[40] A. Sandovici.
On polynomials in a linear relation.
Proceedings of the 4th Workshop on Operator Theory in Krein Spaces
and Applications, Berlin, December 17-19, 2004.
In volume Operator Theory in Inner Product Spaces, Series: OTAA,
Vol. 175, Förster, K.-H.; Jonas, P.; Langer, H.; Trunk, C. (Eds.)
2007, VI, 240 p., ISBN: 978-3-7643-8269-8, 231-240.
[39] A. Sandovici.
Lagrangian pairs in Hilbert spaces.
Methods of Functional Analysis and Topology, vol. 12, no. 1, 2006, 82-100.

[38] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Form sums of nonnegative selfadjoint operators.
Acta Mathematica Hungarica, vol. 111, no. 1-2, 2006, 81-105.

[37] J.-Ph. Labrousse, A. Sandovici, H. de Snoo, H. Winkler.
Quasi-Fredholm relations in Hilbert spaces,
Studii si Cercetari Stiintifice, No. 16 (2006), 93-106.

[36] A. Sandovici, H. de Snoo, H. Winkler.
The structure of linear relations in Euclidean spaces.
Linear Algebra and its Applications, vol. 397, 2005, 141-169.

[35] A. Sandovici,
A smooth gauge model on tangent manifold,
Rendiconti del Seminario Matematico Torino, vol. 63, no.3, 2005, 255-282.

[34] M. Mocanu, A. Sandovici.
On the convergence of a sequence generated by an integral.
Creative Mathematics, vol. 14, 2005, 31-42.

[33] A. Sandovici, V. Blanuta.
Generalized Beil metric on Cartan spaces.
Tensor (N.S.), vol. 66, no.1, 2005, 34-43.

[32] O.V. Iftime, A. Sandovici, G. Golo.
Tools for analysis of Diracv Structures on Banach Spaces.
44th IEEE Conference on Decision and Control and
European Control Conference,
December 12-15, 2005, Sevilla, Spain, 3856-3861.

[31] S. Hassi, A. Sandovici, H. de Snoo, H. Winkler.
Extremal extensions of nonnegative linear relations.
Proceedings of AIT05, May 16-18, 2005, Vaasa, Finland, 57-66.

[30] A. Sandovici, H. de Snoo, H. Winkler.
Ascent, descent, nullity, and defect for linear relations.
Proceedings of AIT05, May 16-18, 2005, Vaasa, Finland, 177-184.

[29] A. Sandovici.
A generalization of Yang Mills theory on the bundle of accelerations.
Studii si Cercetari Stiintifice, No. 15 (2005), 153-160.

[28] A. Sandovici.
Two remarkable connections associated with a Beil metric on
Cartan spaces.
Radovi Matematicki, 12 (2004), 189-203.

[27] A. Sandovici, V. Blanuta.
On a framed f - structure on tangent manifold of a Riemannian Space.
Libertas Mathematica, vol. XXIV (2004), 21-28.

[26] A. Sandovici.
A class of almost complex structures on tangent manifold.
Studii si Cercetari Stiintifice, No. 14 (2004), 171-178.

[25] A. Sandovici.
Canonical regular extensions of symmetric linear relations.
Proceedings of the 20th Conference in Operator Theory,
June 30 – July 5, 2004,
Timisoara, Romania, Theta Publishing House, 207-221.

[24] A. Sandovici and V. Blanuta. Beil metrics on Cartan spaces.
In vol. "Recent advances in geometry and topology".
D. Andrica and P. Blaga (Eds.).
Cluj University Press, 2004, 353-363.

[23] A. Sandovici.
On the homogeneous geometrical model of a Riemannian space.
Acta Mathematica Nyiregyhaziensis, 19 (2003), 245-253.

[22] A. Sandovici.
A Rheonomic gauge theory.
Carpathian J. Math., 19 (2003), No. 2, 111-134.

[21] A. Sandovici, V. Blanuta.
Homogeneous 2-pi metrical structures on T2M manifold.
Bull. Malays. Math. Sci. Soc. (2), 26 (2003), 163-174.

[20] A. Sandovici.
Implications of homogeneity in Miron's sense in gauge theories of
second order.
In vol. Finsler and Lagrange Geometries: Proceedings of a
Conference Held on August 26-31, 2001, in Iasi, Romania,
Kluwer Acad. Pub., 2003, 277-285.

[19] A. Sandovici.
Levi-Civita connection on second order tangent bundle.
Studii Si Cercetari Stiintifice, No. 13 (2003), 145-156.

[18] A. Sandovici.
Conservation laws in higher order Lagrange spaces.
Mathematica, Cluj, Tome 44(67), No. 1 (2002), 77-86.

[17] A. Sandovici.
A class of solutions for EYM equations.
Proceedings of BGL3, Targu Mures, Romania (2002), 25-30.

[16] A. Sandovici.
Considerations on the Geometry of the Sphere Bundle.
Studii Si Cercetari Stiintifice, No. 12 (2002), 207-220.

[15] A. Sandovici.
Differential operators on bundle of accelerations in homogeneous approach.
Proceedings of the Centennial "G. Vranceanu", Part II (Bucharest, 2000).
An. Univ. Bucure sti Mat. Inform. 50 (2001), no. 2, 163—172.

[14] A. Sandovici.
A Generalization of Yang Mills Theory in Higher Order Gauge Approach.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul III, Fascicola 5, 2001, 150-155.

[13] A. Sandovici.
Differential Operators on Bundle of Accelerations in
Homogeneous approach.
Buletinul Stiintific al Universitatii din Baia Mare,
Vol. XVII, no. 1-2, 2001, 117-126.

[12] A. Sandovici.
Strength fields and Lagrangians on GOSC(2)(M).
Analele Universitatii ''Al. I. Cuza'', Iasi,
Tomul XLVII, s.I a, Matematica, 2001, f.2, 213-228.

[11] A. Sandovici.
Generalized Asanov Equations of Second Order.
Studii Si Cercetari Stiintifice, Nr. 11 (2001), 213-218.

[10] A. Sandovici.
Gauge Bianchi Identities in Higher Order Lagrange Spaces.
Balkan Journal of Geometry and Its Applications,
vol. 5, no. 1, 2000, 141-148.

[9] A. Sandovici.
D - Connections Compatible with a Class of Metrical Almost 2-pi
Structures on TM.
Differential Geometry - Dynamical Systems, vol. 2, no. 1, 2000, 36-42.

[8] A. Sandovici.
A Generalization of Electromagnetic Field Theory in
Higher Order Lagrange Spaces.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul II, Fascicola 5, 2000, 72-81.

[7] A. Sandovici.
A Gauge Theory of Second Order in Munteanu-Ikeda Approach.
Studii si Cercetari Stiintifice, No. 10 (2000), 255-278.

[6] A. Sandovici, V. Blanuta.
A Class of Metrical Almost 2-pi Structures on Tangent Bundle.
Algebras, Groups and Geometries, 17(3), 2000, 331-340.

[5] A. Sandovici.
Rheonomic Gauge-Invariant Lagrangians, Proceedings of
the 7-th Conference on Applied and Industrial Mathematics, CAIM' 99,
University of Pitesti, October, 15-17, 1999, 199- 211.

[4] A. Sandovici.
Rheonomic Gauge Non-linear Connections and Semisprays.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul I, Fascicola 4, 1999, 121-128.

[3] A. Sandovici.
Equations of Motion and Conservation Laws in Rheonomic Gauge
Lagrange Approach.
Analele Facultatii de Inginerie din Hunedoara, University of Timisoara,
Tomul I, Fascicola 7, 1999, 69-80.

[2] A. Sandovici.
Deformation of Second Order of Riemannian Spaces.
Studii si Cercetari Stiintifice, No. 9 (1999), 187-202.

[1] A. Sandovici.
On a Class of Generalized Lagrange Spaces of Second Order.
Analele Universitatii ''Dunarea de Jos'', Galati, vol. XVI, f.2, 1998, 31-40.


References:


Professor Henk de Snoo
Department of Mathematics, University of Groningen, P.O. Box 800,
9700 AV Groningen, The Netherlands
Telephone: +31 503633963; Fax: +31 503633800
E-mail: desnoo@math.rug.nl
Homepage: http://www.math.rug.nl/~desnoo/

Professor Henk Broer
Department of Mathematics, University of Groningen, P.O. Box 800,
9700 AV Groningen, The Netherlands
Telephone: +31 503633959; Fax: +31 503633800
E-mail: broer@math.rug.nl
Homepage: http://www.math.rug.nl/~broer/

Professor Seppo Hassi
Department of Mathematics, University of Vaasa, P.O. Box 700, Fin-65101, Finland
Phone: +358 63248558; Fax: +358(0)63248557
E-mail: sha@uwasa.fi
Homepage: http://www.uwasa.fi/~sha/

Proffesor Radu Miron
Romanian Academy, Iasi Branch
B-dul Carol I, Nr.8,
Iași, Romania
Phone: 0232.201219 (office)
E-mail: radu.miron@uaic.ro


Professor Mihai Anastasiei
Faculty of Mathematics
University “Al. I. Cuza” Iași
B-dul Carol I, Nr.11,
700506 – Iași
Romania
Phone: 0232.201219 (office)
E-mail: anastas@uaic.ro


Copyright © 2010 TMCod.com
SigmaLogic icon