Spectral theory of block operator matrices and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2008
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 239-260) and index 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics "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: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--back cover |
| Beschreibung: | 1 Online-Ressource (xxxii, 264 p.) |
| ISBN: | 1848161123 1860947689 9781848161122 9781860947681 |
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| 100 | 1 | |a Tretter, Christiane |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spectral theory of block operator matrices and applications |c Christiane Tretter |
| 264 | 1 | |a London |b Imperial College Press |c c2008 | |
| 300 | |a 1 Online-Ressource (xxxii, 264 p.) | ||
| 336 | |b txt |2 rdacontent | ||
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| 500 | |a Includes bibliographical references (p. 239-260) and index | ||
| 500 | |a 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics | ||
| 500 | |a "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: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--back cover | ||
| 650 | 7 | |a Operatormatrix |2 swd | |
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Datensatz im Suchindex
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| author | Tretter, Christiane |
| author_facet | Tretter, Christiane |
| author_role | aut |
| author_sort | Tretter, Christiane |
| author_variant | c t ct |
| building | Verbundindex |
| bvnumber | BV043170952 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)830324576 (DE-599)BVBBV043170952 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043170952 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:40Z |
| institution | BVB |
| isbn | 1848161123 1860947689 9781848161122 9781860947681 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028595143 |
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| physical | 1 Online-Ressource (xxxii, 264 p.) |
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| publisher | Imperial College Press |
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| spelling | Tretter, Christiane Verfasser aut Spectral theory of block operator matrices and applications Christiane Tretter London Imperial College Press c2008 1 Online-Ressource (xxxii, 264 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 239-260) and index 1. Bounded Block Operator Matrices -- Quadratic Numerical Range -- Special Classes of Block Operator Matrices -- Spectral Inclusion -- Estimates of the Resolvent -- Corners of the Quadratic Numerical Range -- Schur Complements and Their Factorization -- Block Diagonalization -- Spectral Supporting Subspaces -- Variational Principles for Eigenvalues in Gaps -- J-Self-Adjoint Block Operator Matrices -- Block Numerical Range -- Numerical Ranges of Operator Polynomials -- Gershgorin's Theorem for Block Operator Matrices -- 2. Unbounded Block Operator Matrices -- Relative Boundedness and Relative Compactness -- Closedness and Closability of Block Operator Matrices -- Spectrum and Resolvent -- Essential Spectrum -- Spectral Inclusion -- Symmetric and J-Symmetric Block Operator Matrices -- Dichotomous Block Operator Matrices and Riccati Equations -- Block Diagonalization and Half Range Completeness -- Uniqueness Results for Solutions of Riccati Equations -- Variational Principles -- Eigenvalue Estimates -- 3. Applications in Mathematical Physics -- Upper Dominant Block Operator Matrices in Magnetohydrodynamics -- Diagonally Dominant Block Operator Matrices in Fluid Mechanics -- Off-Diagonally Dominant Block Operator Matrices in Quantum Mechanics "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: nonselfadjoint block operator matrices, block operator matrices with unbounded entries, non-semibounded block operator matrices, and classes of block operator matrices arising in mathematical physics."--back cover Operatormatrix swd MATHEMATICS / Functional Analysis bisacsh 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://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=519148 Aggregator 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 Operatormatrix swd MATHEMATICS / Functional Analysis bisacsh 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 | Operatormatrix swd MATHEMATICS / Functional Analysis bisacsh Operator theory Matrices Spectral theory (Mathematics) Operatormatrix (DE-588)4358853-0 gnd |
| topic_facet | Operatormatrix MATHEMATICS / Functional Analysis Operator theory Matrices Spectral theory (Mathematics) |
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