An Indefinite Excursion In Operator Theory

Author : Aurelian Gheondea
Publisher : Cambridge University Press
Page : 128 pages
File Size : 50,5 Mb
Release : 2022-07-28
Category : Mathematics
ISBN : 9781108981279

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An Indefinite Excursion in Operator Theory by Aurelian Gheondea Pdf

This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.

Author : Aad Dijksma,Israel Gohberg,Marinus A. Kaashoek,Reinhard Mennicken
Publisher : Birkhäuser
Page : 419 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888127

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Contributions to Operator Theory in Spaces with an Indefinite Metric by Aad Dijksma,Israel Gohberg,Marinus A. Kaashoek,Reinhard Mennicken Pdf

This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday. The book begins with his biography and list of publications. It contains a selection of research papers, most of which are devoted to spectral analysis of operators or operator pencils with applications to ordinary and partial differential equations. Other papers deal with time-varying systems, interpolation and factorization problems, and topics from mathematical physics. About half of the papers contain further developments in the theory of operators in spaces with an indefinite metric and treat new applications. The book is of interest to a wide audience of pure and applied mathematicians.

Author : I S Iohvidov,M G Krein,H Langer
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 1982-12-31
Category : Mathematics
ISBN : 3112735986

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Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric by I S Iohvidov,M G Krein,H Langer Pdf

No detailed description available for "Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric".

Author : Matthias Langer,Annemarie Luger,Harald Woracek
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 43,7 Mb
Release : 2006-06-16
Category : Mathematics
ISBN : 9783764375164

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Operator Theory and Indefinite Inner Product Spaces by Matthias Langer,Annemarie Luger,Harald Woracek Pdf

A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.

Author : Michael A. Dritschel
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 43,9 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764379803

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The Extended Field of Operator Theory by Michael A. Dritschel Pdf

This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.

Author : I. Gohberg,P. Lancaster,P.N. Shivakumar
Publisher : Birkhäuser
Page : 448 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890359

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Recent Developments in Operator Theory and Its Applications by I. Gohberg,P. Lancaster,P.N. Shivakumar Pdf

The papers selected for publication here, many of them written by leaders in the field, bring readers up to date on recent achievements in modern operator theory and applications. The book’s subject matter is of practical use to a wide audience in mathematical and engineering sciences.

Author : Tirthankar Bhattacharyya,Michael A. Dritschel
Publisher : Birkhäuser
Page : 202 pages
File Size : 55,6 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9783319181820

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Operator Algebras and Mathematical Physics by Tirthankar Bhattacharyya,Michael A. Dritschel Pdf

This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.

Author : Henry Helson,Grigore Arsene
Publisher : Unknown
Page : 386 pages
File Size : 43,5 Mb
Release : 1987
Category : Mathematics
ISBN : CORNELL:31924003778754

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Operators in Indefinite Metric Spaces, Scattering Theory and Other Topics by Henry Helson,Grigore Arsene Pdf

Author : Matthias Langer,Annemarie Luger,Harald Woracek
Publisher : Birkhäuser
Page : 381 pages
File Size : 42,9 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3764391073

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Operator Theory and Indefinite Inner Product Spaces by Matthias Langer,Annemarie Luger,Harald Woracek Pdf

A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.

Author : B. V. Rajarama Bhat,George A. Elliott,Peter A. Fillmore
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 51,9 Mb
Release : 1999
Category : C*-algebras
ISBN : 9780821808214

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Lectures on Operator Theory by B. V. Rajarama Bhat,George A. Elliott,Peter A. Fillmore Pdf

This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.

Author : M. A. Kaashoek,André C. M. Ran
Publisher : Springer Science & Business Media
Page : 622 pages
File Size : 40,6 Mb
Release : 2001
Category : Mathematics
ISBN : 3764365730

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Recent Advances in Operator Theory by M. A. Kaashoek,André C. M. Ran Pdf

This book contains 25 papers, most of which were presented, for the first time, at the International Workshop on Operator Theory and its Applications held in Groningen, the Netherlands, from June 30-July 3, 1998. The topics include dilation and interpolation problems, reproducing kernel spaces, numerical ranges of operators, Riccati equations, harmonic analysis, spectral theory of differential operators and analytic operator functions to scattering of waves. All papers deal with operators in Banach or Hilbert spaces, or in spaces with an indefinite metric. This volume is dedicated to Israel Gohberg, one of the founding fathers of the IWOTA worskhops and an outstanding leader in operator theory. His work had a deep influence on the field and its range of applications. The IWOTA Groningen 1998, the tenth in its series, was a good occasion for a pre-celebration of his 70th birthday. This book also contains the speeches held at the workshop dinner, a review of Israel Gohberg's contributions to mathematics and a complete list of his publications. The book is of interest to a wide audience of pure and applied mathematicians.

Author : Yuri A. Abramovich,Y. Abramovich,Charalambos D. Aliprantis
Publisher : American Mathematical Soc.
Page : 402 pages
File Size : 48,6 Mb
Release : 2002
Category : Operator theory
ISBN : 9780821821473

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Problems in Operator Theory by Yuri A. Abramovich,Y. Abramovich,Charalambos D. Aliprantis Pdf

This book contains complete solutions to the more than six hundred exercises in the authors' book: Invitation to operator theory--foreword.

Author : Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 50,5 Mb
Release : 2011-02-09
Category : Mathematics
ISBN : 9783034601580

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Topics in Operator Theory by Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky Pdf

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Author : Jussi Behrndt,Karl-Heinz Förster,Carsten Trunk
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 45,6 Mb
Release : 2010-01-11
Category : Mathematics
ISBN : 9783034601801

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Recent Advances in Operator Theory in Hilbert and Krein Spaces by Jussi Behrndt,Karl-Heinz Förster,Carsten Trunk Pdf

The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems. This book is written for researchers and postgraduates interested in functional analysis and differential operators.

Author : I. S. Ichvidov,Mark Grigorʹevich Kreĭn,Helmut Langer
Publisher : Unknown
Page : 0 pages
File Size : 53,5 Mb
Release : 1982
Category : Operator theory
ISBN : OCLC:1342264950

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Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric by I. S. Ichvidov,Mark Grigorʹevich Kreĭn,Helmut Langer Pdf