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Autore: | Gil Michael I |
Titolo: | Operator Functions and Localization of Spectra / / by Michael I. Gil |
Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
Edizione: | 1st ed. 2003. |
Descrizione fisica: | 1 online resource (XIV, 262 p.) |
Disciplina: | 515.7246 |
Soggetto topico: | Operator theory |
Matrix theory | |
Algebra | |
Functions of complex variables | |
Integral equations | |
Operator Theory | |
Linear and Multilinear Algebras, Matrix Theory | |
Functions of a Complex Variable | |
Integral Equations | |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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. |
Sommario/riassunto: | "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. |
Titolo autorizzato: | Operator functions and localization of spectra |
ISBN: | 3-540-45225-7 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910144620403321 |
Lo trovi qui: | Univ. Federico II |
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