Operator Functions and Localization of Spectra / / by Michael I. Gil
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| Autore: |
Gilʹ M. I (Mikhail Iosifovich)
|
| 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 |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1830