Operator Theory And Indefinite Inner Product Spaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Operator Theory And Indefinite Inner Product Spaces PDF full book. Access full book title Operator Theory And Indefinite Inner Product Spaces.
Author | : Matthias Langer |
Publisher | : Springer Science & Business Media |
Total Pages | : 403 |
Release | : 2006-06-16 |
Genre | : Mathematics |
ISBN | : 3764375167 |
Download Operator Theory and Indefinite Inner Product Spaces Book in PDF, ePub and Kindle
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 | : J. Bognar |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 364265567X |
Download Indefinite Inner Product Spaces Book in PDF, ePub and Kindle
By definition, an indefinite inner product space is a real or complex vector space together with a symmetric (in the complex case: hermi tian) bilinear form prescribed on it so that the corresponding quadratic form assumes both positive and negative values. The most important special case arises when a Hilbert space is considered as an orthogonal direct sum of two subspaces, one equipped with the original inner prod uct, and the other with -1 times the original inner product. The subject first appeared thirty years ago in a paper of Dirac [1] on quantum field theory (d. also Pauli [lJ). Soon afterwards, Pontrja gin [1] gave the first mathematical treatment of an indefinite inner prod uct space. Pontrjagin was unaware of the investigations of Dirac and Pauli; on the other hand, he was inspired by a work of Sobolev [lJ, unpublished up to 1960, concerning a problem of mechanics. The attempts of Dirac and Pauli to apply the concept and elemen tary properties of indefinite inner product spaces to field theory have been renewed by several authors. At present it is not easy to judge which of their results will contribute to the final form of this part of physics. The following list of references should serve as a guide to the extensive literature: Bleuler [1], Gupta [lJ, Kallen and Pauli [lJ, Heisen berg [lJ-[4J, Bogoljubov, Medvedev and Polivanov [lJ, K.L. Nagy [lJ-[3], Berezin [lJ, Arons, Han and Sudarshan [1], Lee and Wick [1J.
Author | : Matthias Langer |
Publisher | : Birkhäuser |
Total Pages | : 381 |
Release | : 2009-09-03 |
Genre | : Mathematics |
ISBN | : 9783764391072 |
Download Operator Theory and Indefinite Inner Product Spaces Book in PDF, ePub and Kindle
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 | : Jussi Behrndt |
Publisher | : Springer Science & Business Media |
Total Pages | : 315 |
Release | : 2010-01-11 |
Genre | : Mathematics |
ISBN | : 3034601808 |
Download Recent Advances in Operator Theory in Hilbert and Krein Spaces Book in PDF, ePub and Kindle
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 | : Daniel Alpay |
Publisher | : Birkhäuser |
Total Pages | : 501 |
Release | : 2018-01-30 |
Genre | : Mathematics |
ISBN | : 3319688499 |
Download Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations Book in PDF, ePub and Kindle
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.
Author | : Karl-Heinz Förster |
Publisher | : Springer Science & Business Media |
Total Pages | : 242 |
Release | : 2007-03-20 |
Genre | : Mathematics |
ISBN | : 3764382694 |
Download Operator Theory in Inner Product Spaces Book in PDF, ePub and Kindle
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.
Author | : Jussi Behrndt |
Publisher | : Springer Science & Business Media |
Total Pages | : 261 |
Release | : 2009-01-21 |
Genre | : Mathematics |
ISBN | : 3764389117 |
Download Spectral Theory in Inner Product Spaces and Applications Book in PDF, ePub and Kindle
Contains a collection of research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17. This work discusses topics such as linear relations, singular perturbations, de Branges spaces, nonnegative matrices, and abstract kinetic equations.
Author | : Yan Shaozong |
Publisher | : |
Total Pages | : 416 |
Release | : 1990 |
Genre | : |
ISBN | : 9780582061156 |
Download Operator Theory in Indefinite Inner Product Space Book in PDF, ePub and Kindle
Author | : Aad Dijksma |
Publisher | : Birkhäuser |
Total Pages | : 419 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034888120 |
Download Contributions to Operator Theory in Spaces with an Indefinite Metric Book in PDF, ePub and Kindle
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 | : Aurelian Gheondea |
Publisher | : Cambridge University Press |
Total Pages | : 511 |
Release | : 2022-07-28 |
Genre | : Mathematics |
ISBN | : 1108969038 |
Download An Indefinite Excursion in Operator Theory Book in PDF, ePub and Kindle
Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.