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Operator Functions and Localization of Spectra / by Michael I. Gil
(Lecture Notes in Mathematics. ISSN:16179692 ; 1830)
版 | 1st ed. 2003. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2003 |
本文言語 | 英語 |
大きさ | XIV, 262 p : online resource |
著者標目 | *Gil, Michael I author SpringerLink (Online service) |
件 名 | LCSH:Operator theory LCSH:Algebras, Linear LCSH:Functions of complex variables LCSH:Integral equations FREE:Operator Theory FREE:Linear Algebra FREE:Functions of a Complex Variable FREE:Integral Equations |
一般注記 | Preface -- Preliminaries -- Norms of Matrix-Valued Functions -- Invertibility of Finite Matrices -- Localization of Eigenvalues of Finite Matrices -- Block Matrices and pi-triangular Matrices -- Norm Estimates for Functions -- Functions of Non-Compact Operators -- Bounded Perturbations of Nonself-Adjoint Operators -- Spectrum Localization of Nonself-Adjoint Operators -- Multiplicative Representations of Resolvents -- Relatively $P$-triangular Operators -- Relatively Compact Perturbations of Normal Operators -- Infinite Matrices in Hilbert Spaces and Differential Operators -- Integral Operators in L2 -- Operator Matrices -- Hille - Tamarkin Integral Operators -- Integral Operators in L8 -- Hille - Tamarkin Matrices -- Zeros of Entire Functions -- List of Main Symbols -- Index "Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications HTTP:URL=https://doi.org/10.1007/b93845 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540452256 |
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EB00238321 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA329-329.9 DC23:515,724 |
書誌ID | 4000109142 |
ISBN | 9783540452256 |
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※2017年9月4日以降