Volume 1830 2003

Operator Functions and Localization of Spectra

Authors:

ISBN: 978-3-540-20246-2 (Print) 978-3-540-45225-6 (Online)

Table of contents (19 chapters)

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    Book Chapter

    Pages 1-9

    1 Preliminaries

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    Book Chapter

    Pages 11-34

    2 Norms of Matrix-Valued Functions

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    Book Chapter

    Pages 35-48

    3 Invertibility of Finite Matrices

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    Book Chapter

    Pages 49-63

    4 Localization of Eigenvalues of Finite Matrices

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    Book Chapter

    Pages 65-74

    5 Block Matrices and π -Triangular Matrices

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    Book Chapter

    Pages 75-96

    6 Norm Estimates for Functions of Compact Operators in a Hilbert Space

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    Book Chapter

    Pages 97-121

    7 Functions of Non-compact Operators

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    Book Chapter

    Pages 123-134

    8 Bounded Perturbations of Nonselfadjoint Operators

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    Book Chapter

    Pages 135-149

    9 Spectrum Localization of Nonself-adjoint Operators

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    Book Chapter

    Pages 151-161

    10 Multiplicative Representations of Resolvents

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    Book Chapter

    Pages 163-172

    11 Relatively P-Triangular Operators

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    Book Chapter

    Pages 173-180

    12 Relatively Compact Perturbations of Normal Operators

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    Book Chapter

    Pages 181-188

    13 Infinite Matrices in Hilbert Spaces and Differential Operators

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    Book Chapter

    Pages 189-197

    14 Integral Operators in Space L 2

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    Book Chapter

    Pages 199-213

    15 Operator Matrices

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    Book Chapter

    Pages 215-226

    16 Hille - Tamarkin Integral Operators

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    Book Chapter

    Pages 227-234

    17 Integral Operators in Space L

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    Book Chapter

    Pages 235-241

    18 Hille - Tamarkin Matrices

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    Book Chapter

    Pages 243-252

    19 Zeros of Entire Functions