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Книга Toeplitz Operators and Spectral Function Theory N. Nikolsky

Toeplitz Operators and Spectral Function Theory

Essays from the Leningrad Seminar on Operator Theory

Автор: N. Nikolsky
Език: Английски език
Корици: С меки корици
Издател: Springer Basel
Наличност: Външен склад
Изпращаме след 5-8 дни
52.77 € 103.22 лв
The volume contains selected papers of the Spectral Function Theory seminar, Leningrad Branch of Ste...

Информация за книгата

Автор
N. Nikolsky
Език
Английски език
Корици
Книга - С меки корици
Издадена
2013
страници
421
EAN
9783034855891
ISBN
3034855893
Enbook ID
02644519
Издател
Springer Basel
Теглоt
734
Размери
170 x 244 x 24

Пълно описание

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).

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