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Titlebook: Operator Theory and Related Topics; Proceedings of the M V. M. Adamyan,I. Gohberg,G. Popov Conference proceedings 2000 Springer Basel AG 20

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书目名称Operator Theory and Related Topics
副标题Proceedings of the M
编辑V. M. Adamyan,I. Gohberg,G. Popov
视频video
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Operator Theory and Related Topics; Proceedings of the M V. M. Adamyan,I. Gohberg,G. Popov Conference proceedings 2000 Springer Basel AG 20
描述The present book is the second of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This second volume is devoted to operator theory and related topics. It opens with the bibliography of M. G. Krein and a number of survey papers about his work. The main part of the book consists of original research papers presenting the state of the art in operator theory and its applications. The first volume of these proceedings, entitled Differential Operators and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface. . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
出版日期Conference proceedings 2000
关键词Operator theory; Singular integral; calculus; differential equation; differential operators; distribution
版次1
doihttps://doi.org/10.1007/978-3-0348-8413-6
isbn_softcover978-3-0348-9557-6
isbn_ebook978-3-0348-8413-6Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 2000
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,M.G. Krein’s Contributions to Prediction Theory,The paper presents a brief survey of M.G. Krein’s contributions to prediction theory and some related literature.
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,M.G. Krein’s Contribution to the Moment Problem,In the paper a survey of M.G. Krein’s works on the moment problem is presented. Connections of this works with his investigations in other fields and their interrelations are considered.
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A Proof of the Continuous Commutant Lifting Theorem,We give a proof of the continuous commutant lifting theorem using an extension of a Krein theorem.
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On the Uniform Convergence Theorem of Semigroups,Let .(.): . e 0 be a ..-semigroup of bounded linear operators in a Banach space . and . be the generator of this semigroup. The well known uniform convergence theorem asserts that if for the semigroup .(.), where . is the identity operator in ., then the generator . is bounded.
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On Stochastic Integral, Wick Calculus and Generalized Stochastic Equations on Distribution Spaces oWe introduce an analog of the extended stochastic integral on generalized function spaces of non-Gaussian infinite dimensional analysis and discuss the properties of such integral and its relation to Wick calculus. Then we consider some examples of application of constructed objects to solving generalized stochastic equations.
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Solution of the Truncated Matrix Hamburger Moment Problem According to M.G. Krein,scalar Nevanlinna formula describing all possible solutions is established. As a main tool methods of the theory of extensions of symmetric operators and, in particular, the M.G. Krein formula for generalized resolvents are used.
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