An Indefinite Excursion In Operator Theory
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An Indefinite Excursion in Operator Theory
Author | : Aurelian Gheondea |
Publsiher | : Cambridge University Press |
Total Pages | : 511 |
Release | : 2022-07-28 |
Genre | : Mathematics |
ISBN | : 9781108969031 |
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Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
An Indefinite Excursion in Operator Theory
Author | : Aurelian Gheondea |
Publsiher | : Cambridge University Press |
Total Pages | : 135 |
Release | : 2022-07-28 |
Genre | : Mathematics |
ISBN | : 9781108981279 |
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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.
Contributions to Operator Theory in Spaces with an Indefinite Metric
Author | : Aad Dijksma,Israel Gohberg,Marinus A. Kaashoek,Reinhard Mennicken |
Publsiher | : Birkhäuser |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034888127 |
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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.
Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric
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Author | : I S Iohvidov,M G Krein,H Langer |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1982-12-31 |
Genre | : Mathematics |
ISBN | : 3112735986 |
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No detailed description available for "Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric".
Operator Theory and Indefinite Inner Product Spaces
Author | : Matthias Langer,Annemarie Luger,Harald Woracek |
Publsiher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2006-06-16 |
Genre | : Mathematics |
ISBN | : 9783764375164 |
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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.
The Extended Field of Operator Theory
Author | : Michael A. Dritschel |
Publsiher | : Springer Science & Business Media |
Total Pages | : 405 |
Release | : 2007-06-25 |
Genre | : Mathematics |
ISBN | : 9783764379803 |
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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.
Recent Developments in Operator Theory and Its Applications
Author | : I. Gohberg,P. Lancaster,P.N. Shivakumar |
Publsiher | : Birkhäuser |
Total Pages | : 448 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034890359 |
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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.
Operators in Indefinite Metric Spaces Scattering Theory and Other Topics
Author | : Henry Helson,Grigore Arsene |
Publsiher | : Unknown |
Total Pages | : 386 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : CORNELL:31924003778754 |
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