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E-grāmata: Spectral Theory in Inner Product Spaces and Applications: 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006

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This volume contains papers written by participants of the 6th Workshop on - erator Theory in Krein Spaces and Operator Polynomials, which was held at the Technische Universit. at Berlin, Germany, December 14 to 17, 2006. This workshop was attended by 67 participants from 14 countries. The lectures covered topics from spectral and perturbation theory of linear operators in inner product spaces and from operator polynomials. They included the theory of generalized Nevanlinna and Schur functions, di erential operators, singular perturbations, de Branges spaces, scattering problems, block numerical ranges, nonnegative matrices and relations. All these topics are re ected in the present volume. Besides, it contains an after dinner speech from an earlier wo- shop, which we think may be of interest for the reader, as well as a speech on the occasion of the retirement of Peter Jonas. It is a pleasure to acknowledge the substantial ?nancial support received from the - Deutsche Forschungsgemeinschaft (DFG), - Berlin Mathematical School (BMS), - DFG-Forschungszentrum MATHEON "Mathematik fur .. Schlussel- .. technologien", - Institute of Mathematics of the Technische Universit. at Berlin. WewouldalsoliketothankPetraGrimbergerforhergreathelpintheorganisation. Without her assistance the workshop might not have taken place.
Preface vii
Lectures Held at the 6th Workshop on Operator Theory in Krein Spaces ix
After Dinner Speech on the Inventor of the Equality Sign xiii
A. Dijksma
Speech on the Occasion of the Retirement of Peter Jonas xvii
H. Langer
Augmented Schur Parameters for Generalized Nevanlinna Functions and Approximation
1(30)
D. Alpay
A. Dijksma
H. Langer
On Domains of Powers of Linear Operators and Finite Rank Perturbations
31(6)
T. Ya. Azizov
J. Behrndt
F. Philipp
C. Trunk
Finite-dimensional de Branges Subspaces Generated by Majorants
37(12)
A. Baranov
H. Woracek
Trace Formulae for Dissipative and Coupled Scattering Systems
49(38)
J. Behrndt
M.M. Malamud
H. Neidhardt
Approximation of N∞k-functions I: Models and Regularization
87(26)
A. Dijksma
A. Luger
Y. Shondin
On the Block Numerical Range of Nonnegative Matrices
113(22)
K.-H. Forster
N. Hartanto
A Quantum Dot with Impurity in the Lobachevsky Plane
135(14)
V. Geyler
P. Stovicek
M. Tusek
One-dimensional Perturbations, Asymptotic Expansions, and Spectral Gaps
149(26)
S. Hassi
A. Sandovici
H. Winkler
Abstract Kinetic Equations with Positive Collision Operators
175(22)
I.M. Karabash
On the Structure of Semigroups of Operators Acting in Spaces with Indefinite Metric
197(10)
V.A. Khatskevich
V.A. Senderov
G-Self-adjoint Operators in Almost Pontryagin Spaces
207(30)
F. Philipp
C. Trunk
On a Krein Criterion
237(8)
A. Sandovici
Two-sided Weighted Shifts Are `almost Krein' Normal
245
F.H. Szafraniec