Topic
Multiplication operator
About: Multiplication operator is a research topic. Over the lifetime, 3035 publications have been published within this topic receiving 39537 citations.
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21 Apr 2003TL;DR: In this article, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications.
Abstract: In this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.
1,530 citations
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01 Jan 1993
TL;DR: In this paper, the vertex operator algebras duality for vertex operators and vertex operators for modules is discussed, as well as the duality of vertex operators on modules.
Abstract: Introduction Vertex operator algebras Duality for vertex operator algebras Modules Duality for modules References.
1,164 citations