Spectral theory of block operator matrices and applications:
This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator matrices, block op...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2008
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics. The main topics include: localization of the spectrum by means of new concepts of numerical range; investigation of the essential spectrum; variational principles and eigenvalue estimates; block diagonalization and invariant subspaces; solutions of algebraic Riccati equations; applications to spectral problems from magnetohydrodynamics, fluid mechanics, and quantum mechanics |
| Beschreibung: | xxxii, 264 p. col. ill |
| ISBN: | 9781848161122 |
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| indexdate | 2024-07-10T07:57:42Z |
| institution | BVB |
| isbn | 9781848161122 |
| language | English |
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| physical | xxxii, 264 p. col. ill |
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| spelling | Tretter, Christiane Verfasser aut Spectral theory of block operator matrices and applications Christiane Tretter London Imperial College Press c2008 xxxii, 264 p. col. ill txt rdacontent c rdamedia cr rdacarrier This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices. Particular emphasis is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics. The main topics include: localization of the spectrum by means of new concepts of numerical range; investigation of the essential spectrum; variational principles and eigenvalue estimates; block diagonalization and invariant subspaces; solutions of algebraic Riccati equations; applications to spectral problems from magnetohydrodynamics, fluid mechanics, and quantum mechanics Operator theory Matrices Spectral theory (Mathematics) Operatormatrix (DE-588)4358853-0 gnd rswk-swf Operatormatrix (DE-588)4358853-0 s 1\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/P493#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tretter, Christiane Spectral theory of block operator matrices and applications Operator theory Matrices Spectral theory (Mathematics) Operatormatrix (DE-588)4358853-0 gnd |
| subject_GND | (DE-588)4358853-0 |
| title | Spectral theory of block operator matrices and applications |
| title_auth | Spectral theory of block operator matrices and applications |
| title_exact_search | Spectral theory of block operator matrices and applications |
| title_full | Spectral theory of block operator matrices and applications Christiane Tretter |
| title_fullStr | Spectral theory of block operator matrices and applications Christiane Tretter |
| title_full_unstemmed | Spectral theory of block operator matrices and applications Christiane Tretter |
| title_short | Spectral theory of block operator matrices and applications |
| title_sort | spectral theory of block operator matrices and applications |
| topic | Operator theory Matrices Spectral theory (Mathematics) Operatormatrix (DE-588)4358853-0 gnd |
| topic_facet | Operator theory Matrices Spectral theory (Mathematics) Operatormatrix |
| url | http://www.worldscientific.com/worldscibooks/10.1142/P493#t=toc |
| work_keys_str_mv | AT tretterchristiane spectraltheoryofblockoperatormatricesandapplications |