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140122 ||| eng |
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|a 9783540452256
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| 100 |
1 |
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|a Gil, Michael I.
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| 245 |
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|a Operator Functions and Localization of Spectra
|h Elektronische Ressource
|c by Michael I. Gil
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| 250 |
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|a 1st ed. 2003
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2003, 2003
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| 300 |
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|a XIV, 262 p
|b online resource
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| 505 |
0 |
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|a 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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| 653 |
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|a Integral equations
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Linear Algebra
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Operator theory
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| 653 |
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|a Operator Theory
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| 653 |
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|a Algebras, Linear
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| 653 |
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|a Integral Equations
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/b93845
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| 856 |
4 |
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|u https://doi.org/10.1007/b93845?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.724
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| 520 |
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|a "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
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