By Nikolai K. Nikolskii (auth.), N. K. Nikolskii (eds.)
The quantity includes chosen papers of the Spectral functionality conception seminar, Leningrad department of Steklov Mathematical Institute. The papers are often dedicated to the idea of Toeplitz and version operators. those topics are thought of the following from a variety of issues of view. a number of papers drawback the relationships of Toeplitz operators to weighted polynomial approximation. specifically, papers via B. Solomyak and A. Volberg intensively deal with the matter of spectra! multiplicity f~r analytic Toeplitz operators (which are, actually, multiplication operators) and my paper can function an creation to the matter. This subject of multiplicities is sustained in a paper by way of V. Vasyunin the place the multiplicity of the spectrum is computed for Hilbert area contractions with finite illness indices. V. Peller's paper offers with a perturbation conception challenge for Toeplitz operators. In a paper via D. Yakubovich a brand new similarity version for a category of Toeplitz operators is built. S. Treil' offers a survey of part of spectral functionality thought for vector valued functionality (Szego-Kolmogorov severe prob!ems for operator weights, bases of vector rational services, estimations of Hilbert remodel with appreciate to operator weights, the operator corona problem). As a concluding comment I dare purely word that the entire assortment convinces us once again for sure of the fruitfullness of the normal union of operator concept and intricate research (if in any respect the union of those fields is in any respect diversified from their intersection).
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