Ebook: Recent Advances in Operator Theory in Hilbert and Krein Spaces

The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.

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The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.

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The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.

Content:
Front Matter....Pages i-xv
Local Scattering Problem and a Solvable Model of Quantum Network....Pages 1-10
Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems....Pages 11-40
A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators....Pages 41-48
Moment Problems for Real Measures on the Unit Circle....Pages 49-60
Finite Rank Perturbations, Scattering Matrices and Inverse Problems....Pages 61-85
Conditions for an Indefinite Sturm-Liouville Riesz Basis Property....Pages 87-95
Convergence of Diagonal Pad? Approximants for a Class of Definitizable Functions....Pages 97-124
Approximation of N ? ? -functions II: Convergence of Models....Pages 125-169
Nonnegative Extensions via Embeddings....Pages 171-183
Fredholm Properties of Unbounded Operators on Interpolation Spaces....Pages 185-210
Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms....Pages 211-227
The K?nigs Problem and Extreme Fixed Points....Pages 229-237
Bisectors, Isometries and Connected Components in Hilbert Spaces....Pages 239-258
On Norms in Indefinite Inner Product Spaces....Pages 259-264
Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems....Pages 265-290
On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane....Pages 291-304
Note on Interlacing for Hyperbolic Quadratic Pencils....Pages 305-307

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The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems.

This book is written for researchers and postgraduates interested in functional analysis and differential operators.

Content:
Front Matter....Pages i-xv
Local Scattering Problem and a Solvable Model of Quantum Network....Pages 1-10
Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems....Pages 11-40
A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators....Pages 41-48
Moment Problems for Real Measures on the Unit Circle....Pages 49-60
Finite Rank Perturbations, Scattering Matrices and Inverse Problems....Pages 61-85
Conditions for an Indefinite Sturm-Liouville Riesz Basis Property....Pages 87-95
Convergence of Diagonal Pad? Approximants for a Class of Definitizable Functions....Pages 97-124
Approximation of N ? ? -functions II: Convergence of Models....Pages 125-169
Nonnegative Extensions via Embeddings....Pages 171-183
Fredholm Properties of Unbounded Operators on Interpolation Spaces....Pages 185-210
Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms....Pages 211-227
The K?nigs Problem and Extreme Fixed Points....Pages 229-237
Bisectors, Isometries and Connected Components in Hilbert Spaces....Pages 239-258
On Norms in Indefinite Inner Product Spaces....Pages 259-264
Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems....Pages 265-290
On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane....Pages 291-304
Note on Interlacing for Hyperbolic Quadratic Pencils....Pages 305-307
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