Operator Functions and Localization of Spectra
"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, diffe...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Lecture Notes in Mathematics
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| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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