A Panorama of Modern Operator Theory and Related Topics

The Israel Gohberg Memorial Volume

ISBN: 978-3-0348-0220-8 (Print) 978-3-0348-0221-5 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages i-ix

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    Book Chapter

    Pages 1-17

    An Interpolation Problem for Functions with Values in a Commutative Ring

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    Book Chapter

    Pages 19-49

    Minimal and Maximal Invariant Spaces of Holomorphic Functions on Bounded Symmetric Domains

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    Pages 51-73

    B-regular J-inner Matrix-valued Functions

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    Pages 75-122

    Canonical Transfer-function Realization for Schur-Agler-class Functions of the Polydisk

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    Pages 123-153

    Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

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    Pages 155-175

    Banach Algebras of Commuting Toeplitz Operators on the Unit Ball via the Quasi-hyperbolic Group

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    Pages 177-205

    Canonical Models for Bi-isometries

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    Pages 207-224

    First-order Trace Formulae for the Iterates of the Fox–Li Operator

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    Pages 225-239

    Factorization Versus Invertibility of Matrix Functions on Compact Abelian Groups

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    Pages 241-268

    Banded Matrices, Banded Inverses and Polynomial Representations for Semi-separable Operators

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    Pages 269-297

    Description of Helson-Szegő Measures in Terms of the Schur Parameter Sequences of Associated Schur Functions

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    Book Chapter

    Pages 299-328

    Divide and Conquer Method for Eigenstructure of Quasiseparable Matrices Using Zeroes of Rational Matrix Functions

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    Book Chapter

    Pages 329-343

    An Identity Satisfied by Certain Orthogonal Vector-valued Functions

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    Pages 345-357

    Invertibility of Certain Fredholm Operators

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    Pages 359-376

    Bernstein Widths and Super Strictly Singular Inclusions

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    Book Chapter

    Pages 377-386

    On Inversion of Certain Structured Linear Transformations Related to Block Toeplitz Matrices

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    Book Chapter

    Pages 387-401

    The Inverse of a Two-level Positive Definite Toeplitz Operator Matrix

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    Pages 403-424

    Parametrizing Structure Preserving Transformations of Matrix Polynomials

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    Book Chapter

    Pages 425-443

    A Review of Canonical Forms for Selfadjoint Matrix Polynomials

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    Book Chapter

    Pages 445-463

    Linearization, Factorization, and the Spectral Compression of a Self-adjoint Analytic Operator Function Under the Condition (VM)

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