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Record Nr. |
UNINA9910144620403321 |
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Autore |
Gilʹ M. I (Mikhail Iosifovich) |
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Titolo |
Operator Functions and Localization of Spectra / / by Michael I. Gil |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
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ISBN |
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Edizione |
[1st ed. 2003.] |
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Descrizione fisica |
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1 online resource (XIV, 262 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1830 |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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"Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various |
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