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| Author | : Aurelian Gheondea |
| Publisher | : Cambridge University Press |
| Total Pages | : 511 |
| Release | : 2022-07-28 |
| Genre | : Mathematics |
| ISBN | : 1108969038 |
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.
| Author | : Aurelian Gheondea |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2022-07-28 |
| Genre | : Mathematics |
| ISBN | : 1108981275 |
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 |
| Publisher | : Birkhäuser |
| Total Pages | : 419 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034888120 |
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 | : Matthias Langer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 403 |
| Release | : 2006-06-16 |
| Genre | : Mathematics |
| ISBN | : 3764375167 |
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 | : Matthias Langer |
| Publisher | : Birkhäuser |
| Total Pages | : 381 |
| Release | : 2009-09-03 |
| Genre | : Mathematics |
| ISBN | : 9783764391072 |
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 | : I S Iohvidov |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 1982-12-31 |
| Genre | : Mathematics |
| ISBN | : 9783112735985 |
No detailed description available for "Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric".
| Author | : Albrecht Böttcher |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 354 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 082180457X |
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as the theory of linear operators or operator theory, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of functional analysis, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994.
| Author | : Henry Helson |
| Publisher | : |
| Total Pages | : 386 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Jussi Behrndt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 315 |
| Release | : 2010-01-11 |
| Genre | : Mathematics |
| ISBN | : 3034601808 |
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 | : Yuri A. Abramovich |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 402 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821821474 |
This book contains complete solutions to the more than six hundred exercises in the authors' book: Invitation to operator theory--foreword.
