Locally convex quasi *-algebras and their representations
Author(s)
Bibliographic Information
Locally convex quasi *-algebras and their representations
（Lecture notes in mathematics, 2257）
Springer, c2020
Available at / 32 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2257200040101340
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical Physics. They arise in a natural way by completing a *-algebra under a locally convex *-algebra topology, with respect to which the multiplication is separately continuous. Among other things, the book presents an unbounded representation theory of quasi *-algebras, together with an analysis of normed quasi *-algebras, their spectral theory and a study of the structure of locally convex quasi *-algebras. Special attention is given to the case where the locally convex quasi *-algebra is obtained by completing a C*-algebra under a locally convex *-algebra topology, coarser than the C*-topology.
Introducing the subject to graduate students and researchers wishing to build on their knowledge of the usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.
Table of Contents
- Introduction. - Algebraic Aspects. - Normed Quasi *-Algebras: Basic Theory and Examples. - Normed Quasi *-Algebras: Bounded Elements and Spectrum. - CQ*-Algebras. - Locally Convex Quasi *-Algebras. - Locally Convex Quasi C*-Algebras and Their Structure.
by "Nielsen BookData"
