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Theory of Commuting Nonselfadjoint Operators

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Cover of 'Theory of Commuting Nonselfadjoint Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminary Results
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    Chapter 2 Colligations and Vessels
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    Chapter 3 Open Systems and Open Fields
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    Chapter 4 The Generalized Cayley — Hamilton Theorem
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    Chapter 5 Joint Spectrum and the Spectral Mapping Theorem
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    Chapter 6 Joint Spectrum of Commuting Operators with Compact Imaginary Parts
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    Chapter 7 Properties of Discriminant Varieties of a Commutative Vessel
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    Chapter 8 Operator Colligations and Vessels in Banach Space
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    Chapter 9 Bezoutian Vessels in Banach Space
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    Chapter 10 Characteristic Functions of Two-Operator Vessels in a Hilbert Space
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    Chapter 11 The Determinantal Representations and the Joint Characteristic Functions in the Case of Real Smooth Cubics
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    Chapter 12 Triangular Models for Commutative Two-Operator Vessels on Real Smooth Cubics
Attention for Chapter 5: Joint Spectrum and the Spectral Mapping Theorem
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