Operator Theory and Indefinite Inner Product Spaces
Operator Theory and Indefinite Inner Product Spaces

Author: Matthias Langer

Publisher: Springer Science & Business Media

Published: 2006-06-16

Total Pages: 403

ISBN-13: 3764375167

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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.

An Indefinite Excursion in Operator Theory
An Indefinite Excursion in Operator Theory

Author: Aurelian Gheondea

Publisher: Cambridge University Press

Published: 2022-07-28

Total Pages: 511

ISBN-13: 1108969038

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Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.

Operator Theory in Inner Product Spaces
Operator Theory in Inner Product Spaces

Author: Karl-Heinz Förster

Publisher: Springer Science & Business Media

Published: 2007-03-20

Total Pages: 242

ISBN-13: 3764382694

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This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation, and extension theory of linear operators and relations in inner product spaces.

Indefinite Linear Algebra and Applications
Indefinite Linear Algebra and Applications

Author: Israel Gohberg

Publisher: Springer Science & Business Media

Published: 2006-02-08

Total Pages: 364

ISBN-13: 3764373504

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This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.

Linear Operators in Spaces with an Indefinite Metric
Linear Operators in Spaces with an Indefinite Metric

Author: Tomas I︠A︡kovlevich Azizov

Publisher:

Published: 1989-10-27

Total Pages: 328

ISBN-13:

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An introduction to the geometry of spaces, this research monograph develops the foundations of the theory of linear operators in these spaces and examines the theory of invariant subspaces, spectral questions and the question of the extension of operators.

Current Trends in Operator Theory and its Applications
Current Trends in Operator Theory and its Applications

Author: Joseph A. Ball

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 604

ISBN-13: 3034878818

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Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations
Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

Author: Daniel Alpay

Publisher: Birkhäuser

Published: 2018-01-30

Total Pages: 501

ISBN-13: 3319688499

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This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.

Contributions to Operator Theory in Spaces with an Indefinite Metric
Contributions to Operator Theory in Spaces with an Indefinite Metric

Author: Aad Dijksma

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 419

ISBN-13: 3034888120

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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.

Operator Theory, Analysis and the State Space Approach
Operator Theory, Analysis and the State Space Approach

Author: Harm Bart

Publisher: Springer

Published: 2018-12-30

Total Pages: 499

ISBN-13: 3030042693

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This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.

Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

Author: Karl-Heinz Förster

Publisher: Springer Science & Business Media

Published: 2006-03-16

Total Pages: 307

ISBN-13: 3764374535

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This volume contains a collection of recent original research papers in operator theory in Krein spaces, on generalized Nevanlinna functions, which are closely connected with this theory, and on nonlinear eigenvalue problems. Key topics include: spectral theory for normal operators; perturbation theory for self-adjoint operators in Krein spaces; and, models for generalized Nevanlinna functions.