Operator Theory in Inner Product Spaces

, by Forster, Karl-heinz; Jonas, Peter; Langer, Heinz; Trunk, Carsten

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ISBN: 9783764382698 | 3764382694
Cover: Hardcover
Copyright: 6/25/2007

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This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, which was held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation and extension theory of linear operators and relations in inner product spaces, including spectral analysis of differential operators, the theory of generalized Nevanlinna functions and related classes of functions, spectral theory of matrix polynomials, and problems from scattering theory.

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Preface	p. vii
Linear Operators in Almost Krein Spaces	p. 1
Generalized Resolvents of a Class of Symmetrie Operators in Krein Spaces	p. 13
Block Operator Matrices, Optical Potentials, Trace Class Perturbations and Scattering	p. 33
Asymptotic Expansions of Generalized Nevanlinna Functions and their Spectral Properties	p. 51
A Necessary Aspect of the Generahzed Beals Condition for the Riesz Basis Property of Indefinite Sturm-Liouville Problems	p. 89
On Reducible Nonmonic Matrix Polynomials with General and Nonnegative Coefficients	p. 95
On Exceptional Extensions Close to the Generalized Friedrichs Extension of Symmetric Operators	p. 111
On the Spectrum of the Self-adjoint Extensions of a Nonnegative Linear Relation of Defect One in a Krein Space	p. 121
Canonical Differential Equations of Hilbert-Schmidt Type	p. 159
Spectral Analysis of Differential Operators with Indefinite Weights and a Local Point Interaction	p. 169
Normal Matrices in Degenerate Indefinite Inner Product Spaces	p. 193
Symmetric Hermite-Biehler Polynomials with Defect	p. 211
A Note on Indefinite Douglas' Lemma	p. 225
Some Basic Properties of Polynomials in a Linear Relation in Linear Spaces	p. 231
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Operator Theory in Inner Product Spaces

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