عنوان

Toeplitz Operators and Spectral Function Theory

(Number (ISBN

9783034855877

(Number (ISBN

9783034855891

Number

b406131

Title Proper

Toeplitz Operators and Spectral Function Theory

General Material Designation

[Book]

Other Title Information

Essays from the Leningrad Seminar on Operator Theory /

First Statement of Responsibility

edited by N. K. Nikolskii.

Place of Publication, Distribution, etc.

Basel :

Name of Publisher, Distributor, etc.

Imprint: Birkhäuser,

Date of Publication, Distribution, etc.

1989.

Series Title

Operator Theory: Advances and Applications,

Volume Designation

42

ISSN of Series

0255-0156 ;

Text of Note

The volume contains selected papers of the Spectral Function Theory seminar, Leningrad Branch of Steklov Mathematical Institute. The papers are mostly devoted to the theory of Toeplitz and model operators. These subjects are considered here from various points of view. Several papers concern the relationships of Toeplitz operators to weighted polynomial approximation. Namely, two papers by B. Solomyak and A. Volberg intensively treat the problem of spectra! multiplicity f~r analytic Toeplitz operators (which are, in fact, multiplication operators) and my paper can serve as an introduction to the problem. This theme of multiplicities is continued in a paper by V. Vasyunin where the multiplicity of the spectrum is computed for Hilbert space contractions with finite defect indices. V. Peller's paper deals with a perturbation theory problem for Toeplitz operators. In a paper by D. Yakubovich a new similarity model for a class of Toeplitz operators is constructed. S. Treil' presents a survey of a part of spectral function theory for vector valued function (Szego-Kolmogorov extreme prob!ems for operator weights, bases of vector rational functions, estimations of Hilbert transform with respect to operator weights, the operator corona problem). As a concluding remark I dare only note that the whole collection convinces us once more without a doubt of the fruitfullness of the natural union of operator theory and complex analysis (if at all the union of these fields is at all different from their intersection).

International Standard Book Number

9783034855891

Title

Springer eBooks

Science (General).

Nikolskii, N. K.

SpringerLink (Online service)

Date of Transaction

20190307162800.0

Electronic name

[Book]

Y