书目名称 | Toeplitz Operators and Spectral Function Theory | 副标题 | Essays from the Leni | 编辑 | N. K. Nikolskii | 视频video | | 丛书名称 | Operator Theory: Advances and Applications | 图书封面 |  | 描述 | 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 re | 出版日期 | Book 1989 | 关键词 | approximation; Hilbert space; perturbation; perturbation theory | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-5587-7 | isbn_softcover | 978-3-0348-5589-1 | isbn_ebook | 978-3-0348-5587-7Series ISSN 0255-0156 Series E-ISSN 2296-4878 | issn_series | 0255-0156 | copyright | Springer Basel AG 1989 |
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