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Titlebook: Operators and Function Theory; S. C. Power Book 1985 D. Reidel Publishing Company, Dordrecht, Holland 1985 Hilbert space.analytic function

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书目名称Operators and Function Theory
编辑S. C. Power
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Operators and Function Theory;  S. C. Power Book 1985 D. Reidel Publishing Company, Dordrecht, Holland 1985 Hilbert space.analytic function
描述In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute ‘Operators and Function Theory‘ in Lancaster, 1984, was devoted to this, and this book contains ex­ panded versions (and one contraction) of the main lecture prog­ ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter­ polation theory for Bergman, Besov and Bloch spaces, with applic­ ations for special operators, the Krein space approach to inter­ polation problems, •• and much more. It is hoped that these proceedings will bring all this lively mathematics t
出版日期Book 1985
关键词Hilbert space; analytic function; banach spaces; integral; interpolation; minimum; operator
版次1
doihttps://doi.org/10.1007/978-94-009-5374-1
isbn_softcover978-94-010-8871-8
isbn_ebook978-94-009-5374-1Series ISSN 1389-2185
issn_series 1389-2185
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1985
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A Survey of Some Results on Subnormal Operators,In this paper some results on subnormal operators will be presented. Some of these results are to be found in my book . [7], hereafter referred to as .. In addition some of the developments that have taken place since that book was written will also be discussed.
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Cyclic Vectors in Banach Spaces of Analytic Functions,n it is of interest to describe the cyclic vectors for this operator, that is, those functions in the space with the property that the polynomial multiples of the function are dense. A necessary condition is that the function have no zeros; in general it is difficult to give necessary and sufficient conditions.
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