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Lecture Notes in Mathematics

Lecture Notes in Mathematics

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Lecture Notes in Mathematics

Fragoulopoulou, Maria; Trapani, Camillo

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 usualtheory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.

Details

Published by: Springer

Publication Date: 2020-04-08

Format: Paperback

ISBN-13: 9783030377045

DOI: 10.1007/978-3-030-37705-2

Dimensions: 235cm x155cm

Pages: 262

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