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Characteristic functions and models of nonself-adjoint operators Book

Characteristic functions and models of nonself-adjoint operators
Characteristic functions and models of nonself-adjoint operators, This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; , Characteristic functions and models of nonself-adjoint operators has a rating of 3 stars
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Characteristic functions and models of nonself-adjoint operators, This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; , Characteristic functions and models of nonself-adjoint operators
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  • Characteristic functions and models of nonself-adjoint operators
  • Written by author A. Kuzhel
  • Published by Dordrecht ; Kluwer Academic, c1996., 1995/11/30
  • This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators;
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Introduction 1
Ch. 1 Regular Extensions of Hermitian Operators 3
1 Principal Concepts 3
2 Auxiliary Operators and Their Application 13
3 Dissipative Operators 24
Ch. 2 Characteristic Functions 33
1 Characteristic Matrix Functions of Regular Extensions 33
2 A Criterion of Unitary Equivalence 39
3 Determination of Characteristic Matrix Functions 42
4 Examples 50
5 Properties of Characteristic Matrix-Functions 57
6 Theorem on Multiplication of Characteristic Matrix Functions 65
7 Factorization of Characteristic Matrix Functions 75
8 Characteristic Operator Functions 86
9 Characteristic Functions. Brief Survey 96
Ch. 3 Models of Nonself-Adjoint Operators 111
1 Preliminary Remarks 111
2 K[superscript r]-Operators with Real Spectrum 112
3 K[superscript r]-Operators with Spectrum Concentrated at Infinity 128
4 K[superscript r]-Operators with Discrete Spectrum 131
5 General Case 147
6 Models of Linear Operators (A Brief Survey) 153
Ch. 4 Dilations of Linear Operators 173
1 A Brief Survey 173
2 Self-Adjoint Dilation of a Dissipative Operator (First Method) 174
3 Symmetric and Self-Adjoint Dilations of Dissipative Operators (Second Method) 184
4 J-Unitary and J-Selfadjoint Dilations 190
5 Coordinate-Free Form of Dilations 192
Appendix 1. Contractions. Triangulation of Contractions 195
Appendix 2. The Structure of J-Nonexpanding Operators 206
Appendix 3. Lax-Phillips Abstract Scattering Scheme in Pontryagin Spaces 217
References 251
Subject Index 269
Author Index 271
Notation 273


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Characteristic functions and models of nonself-adjoint operators, This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; , Characteristic functions and models of nonself-adjoint operators

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Characteristic functions and models of nonself-adjoint operators, This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; , Characteristic functions and models of nonself-adjoint operators

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Characteristic functions and models of nonself-adjoint operators, This work aims to give a systematic presentation of methods used in the spectral theory of nonself-adjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjoint and nonself-adjoint extensions of Hermitian operators; , Characteristic functions and models of nonself-adjoint operators

Characteristic functions and models of nonself-adjoint operators

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