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Recent Developments in Operator Theory and Its Applications / I. Gohberg

Public ISBD Titre : Recent Developments in Operator Theory and Its Applications : international conference in winnipeg, October 2–6, 1994 Type de document : texte imprimé Auteurs : I. Gohberg, Auteur ; P. Lancaster, Auteur ; P. N. Shivakumar, Auteur Editeur : Bsel, Boston, Berlin : Birkhäuser Verlag Année de publication : 1996 Collection : Operator Theory Advances and Applications Importance : 435 p. Présentation : ill. Format : 23,8 cm. ISBN/ISSN/EAN : 978-3-7643-5413-8 Langues : Anglais (eng) Catégories : AUTOMATISME Index. décimale : 25-02 Théorie et traitement du signal Résumé : The present volume contains the proceedings of the International Conference on Ap plications of Operator Theory held in Winnipeg, Canada (October 2nd to 6th, 1994), which was organized by the Institute of Industrial Mathematical Sciences (IIMS) of the University of Manitoba. At this conference 92 participants representing 15 countries par ticipated, and 64 papers were presented. This meeting was the second of a linked pair. The first was a program of advanced instruction held at the Fields Institute, Ontario, followed by a research conference. The first of these events gave rise to the volume "Lectures on Operator Theory and its Applications", published by the American Mathematical Society for the Fields Institute in 1995. These two events were the creation of the following Program Committee: M. A. Dahleh (M. I. T. ) P. A. Fillmore (Dalhousie) B. A. Francis (Toronto) F. Ghahramani (Manitoba) K. Glover (Cambridge) I. Gohberg (Tel Aviv) T. Kailath (Stanford) P. Lancaster (Calgary), Chair H. Langer (Vienna) P. N. Shivakumar (Manitoba) A. A. Shkalikov (Moscow) B. Simon (Cal. Tech. ) H. Widom (Santa Cruz) Both events focused on the following main topics: Infinite matrices and projection methods, linear operators on indefinite scalar product spaces, differential operators and mathematical systems theory and control. This volume contains a selection of papers in modern operator theory and its appli cations. They are dedicated to recent achievements and many are written by leaders in the mentioned fields. Note de contenu : Table of contents -Inverse scattering problem for continuous transmission lines with rational reflection coefficient function -The band method and the Grassmannian approach for completion and extension problems -Polar decompositions in finite dimensional indefinite scalar product spaces Special cases and applications -Positive differential operators in Krein space L²ℝ -Elliptic problems involving an indefinite weight function -The KDV hierarchy and associated trace formulas -On spectral properties of Schrödingertype operator with complex potential -Coalgebras and spectral theory in one and several parameters -Destabilization of infinitedimensional timevarying systems via dynamical output feedback -Perturbations of Gselfadjoint operators and operator polynomials with real spectrum -Definitizable Gunitary operators and their applications to operator polynomials -Systems theoretic aspects of completely symmetric system -Contractive completion of block matrices and its application to ℋ control of periodic systems -Spline approximation methods for WienerHopf operators -Inertia conditions for the minimization of quadratic forms in indefinite metric spaces -Bounds for the width of the instability intervals in the Mathieu equation -Operator pencils arising in elasticity and hydrodynamics The instability index formula -Toeplitz-like operators and their finite sections -Spectral representations and spectral functions of symmetric operators -Hankel type operators Bourgain algebrasm and isometries -Effective computation of operators defined by line integrals Recent Developments in Operator Theory and Its Applications : international conference in winnipeg, October 2–6, 1994 [texte imprimé] / I. Gohberg, Auteur ; P. Lancaster, Auteur ; P. N. Shivakumar, Auteur . - Bsel, Boston, Berlin : Birkhäuser Verlag, 1996 . - 435 p. : ill. ; 23,8 cm.. - (Operator Theory Advances and Applications) . ISBN : 978-3-7643-5413-8 Langues : Anglais (eng) Catégories : AUTOMATISME Index. décimale : 25-02 Théorie et traitement du signal Résumé : The present volume contains the proceedings of the International Conference on Ap plications of Operator Theory held in Winnipeg, Canada (October 2nd to 6th, 1994), which was organized by the Institute of Industrial Mathematical Sciences (IIMS) of the University of Manitoba. At this conference 92 participants representing 15 countries par ticipated, and 64 papers were presented. This meeting was the second of a linked pair. The first was a program of advanced instruction held at the Fields Institute, Ontario, followed by a research conference. The first of these events gave rise to the volume "Lectures on Operator Theory and its Applications", published by the American Mathematical Society for the Fields Institute in 1995. These two events were the creation of the following Program Committee: M. A. Dahleh (M. I. T. ) P. A. Fillmore (Dalhousie) B. A. Francis (Toronto) F. Ghahramani (Manitoba) K. Glover (Cambridge) I. Gohberg (Tel Aviv) T. Kailath (Stanford) P. Lancaster (Calgary), Chair H. Langer (Vienna) P. N. Shivakumar (Manitoba) A. A. Shkalikov (Moscow) B. Simon (Cal. Tech. ) H. Widom (Santa Cruz) Both events focused on the following main topics: Infinite matrices and projection methods, linear operators on indefinite scalar product spaces, differential operators and mathematical systems theory and control. This volume contains a selection of papers in modern operator theory and its appli cations. They are dedicated to recent achievements and many are written by leaders in the mentioned fields. Note de contenu : Table of contents -Inverse scattering problem for continuous transmission lines with rational reflection coefficient function -The band method and the Grassmannian approach for completion and extension problems -Polar decompositions in finite dimensional indefinite scalar product spaces Special cases and applications -Positive differential operators in Krein space L²ℝ -Elliptic problems involving an indefinite weight function -The KDV hierarchy and associated trace formulas -On spectral properties of Schrödingertype operator with complex potential -Coalgebras and spectral theory in one and several parameters -Destabilization of infinitedimensional timevarying systems via dynamical output feedback -Perturbations of Gselfadjoint operators and operator polynomials with real spectrum -Definitizable Gunitary operators and their applications to operator polynomials -Systems theoretic aspects of completely symmetric system -Contractive completion of block matrices and its application to ℋ control of periodic systems -Spline approximation methods for WienerHopf operators -Inertia conditions for the minimization of quadratic forms in indefinite metric spaces -Bounds for the width of the instability intervals in the Mathieu equation -Operator pencils arising in elasticity and hydrodynamics The instability index formula -Toeplitz-like operators and their finite sections -Spectral representations and spectral functions of symmetric operators -Hankel type operators Bourgain algebrasm and isometries -Effective computation of operators defined by line integrals

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Recent progress in operator theory / I. Gohberg

Public ISBD Titre : Recent progress in operator theory : international workshop on operator theory and applications, IWOTA 95, in regensburg, july 31 -august 4, 1995 Type de document : texte imprimé Auteurs : I. Gohberg, Editeur scientifique ; R. Mennicken, Editeur scientifique ; C. Tretter, Editeur scientifique Editeur : Berlin : Birkhauser Verlag Année de publication : 1998 Collection : Operator Theory Advances and Applications Importance : 283 p. Format : 24 cm. ISBN/ISSN/EAN : 978-3-7643-5891-2 Langues : Anglais (eng) Catégories : MATHEMATIQUES Mots-clés : Approximation  Interpolation  Maxima  Operator theory  differential equations  integral equations Index. décimale : 04-08 Mathématiques appliquées Résumé : The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eighth workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The conference covered different aspects of linear and nonlinear spectral problems, starting with problems for abstract operators up to spectral theory of ordinary and partial operators, pseudodifferential operators, and integral operators. The workshop was also focused on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems. The applications concerned applications to mathematical physics, hydrodynamics, magnetohydrodynamics, quantum mechanics, astrophysics as well as the theory of networks and systems. The papers in the two volumes of the proceedings of IWOTA 95 bring the readers up to date on recent achievements in these areas. This volume contains the contributions to different aspects of operator theory and its applications. Its companion volume ("OT 102") is focussed especially on differential and integral operators. The set will be of practical use to a wide-range readership in pure and applied mathematics, physics and engineering sciences. Note de contenu : Table of contents .Inversion Formulas for Compressions of block-Toeplitz Operators .Contractive linear relations in Pontryagin spaces .On a new algorithm for almost periodic factorization .On the normal solvability of cohomological equations on compact topological spaces .On nonnegative realizations of rational matrix functions and nonnegative input-output systems .On the geometric structure of regular dilations .On generalized interpolation and shift invariant maximal semidefinite subspaces .The sum of matrix nevanlinna functions and self-adjoint extensions in exit spaces .Properties of “derived” Hankel matrices .The Probability that a (partial) matrix is positive semidefinite .Factorization of lower triangular unitary operators with finite kronecker index into elementary factors .Fredholm theory of interpolation morphisms .Resolvents of symmetric operators and the degenerated Nevanlinna-Pick problem .Perturbation of linear semigroups .On the approximation of operators and the convergence of the spectra of the approximants Recent progress in operator theory : international workshop on operator theory and applications, IWOTA 95, in regensburg, july 31 -august 4, 1995 [texte imprimé] / I. Gohberg, Editeur scientifique ; R. Mennicken, Editeur scientifique ; C. Tretter, Editeur scientifique . - Berlin : Birkhauser Verlag, 1998 . - 283 p. ; 24 cm.. - (Operator Theory Advances and Applications) . ISSN : 978-3-7643-5891-2 Langues : Anglais (eng) Catégories : MATHEMATIQUES Mots-clés : Approximation  Interpolation  Maxima  Operator theory  differential equations  integral equations Index. décimale : 04-08 Mathématiques appliquées Résumé : The Workshop on Operator Theory and Its Applications, IWOTA 95, was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eighth workshop in the series of IWOTA (International Workshops on Operator Theory and Applications). The conference covered different aspects of linear and nonlinear spectral problems, starting with problems for abstract operators up to spectral theory of ordinary and partial operators, pseudodifferential operators, and integral operators. The workshop was also focused on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems. The applications concerned applications to mathematical physics, hydrodynamics, magnetohydrodynamics, quantum mechanics, astrophysics as well as the theory of networks and systems. The papers in the two volumes of the proceedings of IWOTA 95 bring the readers up to date on recent achievements in these areas. This volume contains the contributions to different aspects of operator theory and its applications. Its companion volume ("OT 102") is focussed especially on differential and integral operators. The set will be of practical use to a wide-range readership in pure and applied mathematics, physics and engineering sciences. Note de contenu : Table of contents .Inversion Formulas for Compressions of block-Toeplitz Operators .Contractive linear relations in Pontryagin spaces .On a new algorithm for almost periodic factorization .On the normal solvability of cohomological equations on compact topological spaces .On nonnegative realizations of rational matrix functions and nonnegative input-output systems .On the geometric structure of regular dilations .On generalized interpolation and shift invariant maximal semidefinite subspaces .The sum of matrix nevanlinna functions and self-adjoint extensions in exit spaces .Properties of “derived” Hankel matrices .The Probability that a (partial) matrix is positive semidefinite .Factorization of lower triangular unitary operators with finite kronecker index into elementary factors .Fredholm theory of interpolation morphisms .Resolvents of symmetric operators and the degenerated Nevanlinna-Pick problem .Perturbation of linear semigroups .On the approximation of operators and the convergence of the spectra of the approximants

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482	04-08-07	Livre	Bibliothèque de Génie Electrique- USTO	Documentaires	Exclu du prêt	482