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El. knyga: Recent Advances in Operator Theory in Hilbert and Krein Spaces

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Thepresentbookisamemorialvolumedevotedtoourfriend,colleagueandteacher Peter Jonas who passed away on July 18, 2007. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by participants of the 7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis, which was held at the Technische Universit. at Berlin, Germany, December 13 to 16, 2007. The articles in this v- ume contain new results for problems close to the area of research of Peter Jonas: Spectralandperturbationproblemsfor operatorsininner productspaces,gener- ized Nevanlinna functions and de nitizable functions, scattering theory, extension theory for symmetric operators, ?xed points, hyperbolic matrix polynomials, - ment problems, inde nite spectral and Sturm-Liouville problems, and invariant subspace problems. It is a pleasure to acknowledge the substantial ?nancial support for the 7th Workshop on Operator Theory in Krein Spaces and Spectral Analysis received from the - Berlin Mathematical School (BMS) - Gesellschaft fur .. Angewandte Mathematik und Mechanik (GAMM) - International Mathematical Union, Commission on Development and Exchanges - Institute of Mathematics of the Technische Universit. at Berlin The Editors Peter Jonas (1941-2007) In Memoriam Peter Jonas (1941-2007) Jussi Behrndt, Karl-Heinz F.. orster and Carsten Trunk Peter Jonas was born on July 18, 1941, in Memel, now Klaipeda, which was at thattime the mosteasterntownofEastPrussia.After the war,PeterJonasmoved with his mother and grandmother to Blankenfelde - a small village near Berlin, where he lived until the end of his school education.
Preface vii
In Memoriam Peter Jonas (1941--2007) ix
J. Behrndt
K.-H. Forster
C. Trunk
List of Publications of Peter Jonas
xiii
Local Scattering Problem and a Solvable Model of Quantum Network
1(10)
V. Adamyan
B. Pavlov
Quadratic (Weakly) Hyperbolic Matrix Polynomials: Direct and Inverse Spectral Problems
11(30)
T.Ya. Azizov
A. Dijksma
K.-H. Forster
P. Jonas
A Theorem on Existence of Invariant Subspaces for J-binoncontractive Operators
41(8)
T.Ya. Azizov
V.A. Khatskevich
Moment Problems for Real Measures on the Unit Circle
49(12)
M. Bakonyi
E. V. Lopushanskaya
Finite Rank Perturbations, Scattering Matrices and Inverse Problems
61(26)
J. Behrndt
M.M. Malamud
H. Neidhardt
Conditions for an Indefinite Sturm-Liouville Riesz Basis Property
87(10)
P. Binding
A. Fleige
Convergence of Diagonal Pade Approximants for a Class of Definitizable Functions
97(28)
M. Derevyagin
V. Derkach
Approximation of -functions II: Convergence of Models
125(46)
A. Dijksma
A. Luger
Y. Shondin
Nonnegative Extensions via Embeddings
171(14)
K.-H. Forster
M.M. Nafalska
Fredholm Properties of Unbounded Operators on Interpolation Spaces
185(26)
K. Gunther
Domain and Range Descriptions for Adjoint Relations, and Parallel Sums and Differences of Forms
211(18)
S. Hassi
Z. Sebestyen
H. de Snoo
The Konigs Problem and Extreme Fixed Points
229(10)
V.A. Khatskevich
V.A. Senderov
Bisectors, Isometries and Connected Components in Hilbert Spaces
239(20)
J.-Ph. Labrousse
On Norms in Indefinite Inner Product Spaces
259(6)
M. Langer
A. Luger
Interpolation of Sobolev Spaces and Indefinite Elliptic Spectral Problems
265(26)
S.G. Pyatkov
On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane
291(14)
P. Stovicek
M. Tusek
Note on Interlacing for Hyperbolic Quadratic Pencils
305
K. Veselic