Recent Advances in Operator Theory and

((keine ö-Punkte, sondern 2 accents aigus auf dem o in Szökefalvi, s. auch Titel!)) In August 1999, an international conference was held in Szeged, Hungary, in honor of Bèla Szökefalvi-Nagy, one of the founders and main contributors of modern operator theory. This volume contains some of the papers presented at the meeting, complemented by several papers of experts who were unable to attend. These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Preface

vii

Portrait of Bela Szokefalvi-Nagy

ix

Farewell speech

xi

C. Foias

Reminiscences of Bela Szokefalvi-Nagy

xiii

I. Gohberg

Photographs

xvii

Bela Szokefalvi-Nagy 1913-1998

xxi

L. Kerchy

H. Langer

Publications of Bela Szokefalvi-Nagy

xxxix

Inverse problems associated to a canonical differential system

1

(28)

D. Alpay

I. Gohberg

Construction of Schwarz norms

29

(12)

T. Ando

On the class of extremal extensions of a nonnegative operator

41

(42)

Yu. M. Arlinskii

S. Hassi

Z. Sebestyen

H. S. V. de Snoo

On Livsic-Brodskii nodes with strongly regular J-inner characterstic matrix functions in the Hardy class

83

(14)

Z. D. Arova

Scalar perturbations of the Sz.-Nagy-Foias characteristic function

97

(16)

B. Bagchi

G. Misra

Inequalities for eigenvalues of sums in a von Neumann algebra

113

(14)

H. Bercovici

W. S. Li

Weighted variants of the Three Chains Completion Theorem

127

(18)

A. Biswas

C. Foias

A. E. Frazho

Semigroups in finite von Neumann algebras

145

(18)

G. Cassier

Singly generated algebras containing a compact operator

163

(8)

J. B. Conway

G. Prajitura

Analytic extension of vector valued functions

171

(32)

C. D'Antoni

L. Zsido

On quotient modules

203

(8)

R. G. Douglas

G. Misra

On the structure of spherical contractions

211

(32)

J. Eschmeier

Apostol's bilateral weighted shifts are hyper-reflexive

243

(24)

J. Esterle

Wielandt type extensions of the Heinz-Kato-Furuta inequality

267

(12)

M. Fujii

Y. Seo

Logarithmic order and dual logarithmic order

279

(12)

T. Furuta

On the generalized von Neumann inequality

291

(14)

D. Gaspar

N. Suciu

Ultraproducts of C*-algebras

305

(22)

L. Ge

D. Hadwin

Intertwining extensions and a two-sided corona problem

327

(22)

C. Gu

R. I. Teodorescu

On self-polar Hilbertian norms on (indefinite) inner product spaces

349

(26)

G. Hofmann

Schur norms and the multivariate von Neumann inequality

375

(12)

J. A. Holbrook

Spectral properties of selfadjoint Jacobi matrices coming from birth and death processes

387

(12)

J. Janas

S. Naboko

On the hyperinvariant subspace problem for asymptotically non-vanishing contractions

399

(24)

L. Kerchy

Unstable dynamics on a Markov background and stability in average

423

(14)

A. M. Krageloh

B. S. Pavlov

A relation for the spectral shift function of two self-adjoint extensions

437

(10)

H. Langer

H. S. V. de Snoo

V. A. Yavrian

Beppo Levi and Lebesgue type theorems for bundle convergence in noncommutative L2-spaces

447

(18)

B. Le Gac

F. Moricz

*-semigroup endomorphisms of B(H)

465

(8)

L. Molnar

Spectral singularities, Szokefalvi-Nagy-Foias functional model and the spectral analysis of the Boltzmann operator

473

(18)

S. Naboko

R. Romanov

Uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces

491

(28)

J. M. A. M. van Neerven

The Friedrichs operator of a planar domain. II

519

(34)

M. Putinar

H. S. Shapiro

Localization of the Wielandt-Wintner Theorem

553

(8)

M. Sabac

Order and square roots in hermitian Banach *-algebras

561

(24)

P. G. Spain

Unitary dilation of several contractions

585

(14)

J. Stochel

F. H. Szafraniec

Inequalities for semibounded operators and their applications to log-hyponormal operators

599

(14)

M. Uchiyama

Operator moment problems in unbounded sets

613

(26)

F.-H. Vasilescu

The argument principle and boundaries of analytic varieties

639

(22)

J. Wermer

Conference Program

661

(6)

List of Participants

667

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Recent Advances in Operator Theory and Related Topics

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