Overview
- Important for applications in Mathematical Physics
- Will be of interest to researchers in topological algebras
- Suitable as a textbook for PhD courses
- Includes an appendix on *-algebras useful for advanced masters students
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2257)
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Table of contents (7 chapters)
Keywords
About this book
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.
Reviews
“The book under review is a fine work which enriches the literature of unbounded operator algebras and their representations. … the excellent organization of the material and the meticulous and coherent deployment of all the results offer the reader a comprehensive and sound understanding of the topic of locally convex quasi-*-algebras. The authors provide a clear view of the possible directions of future research in the field.” (Ioannis Zarakas, Mathematical Reviews, August, 2022)
“This book is well written and can be recommended both to experts on locally convex quasi *-algebras as well as to young researchers (not only in mathematics, but also in physics) who want to understand the ‘world of quasi *-algebras’ (in the general case or in the normed or locally convex setting).” (Mart Abel, zbMATH 1447.46001, 2020)
Authors and Affiliations
Bibliographic Information
Book Title: Locally Convex Quasi *-Algebras and their Representations
Authors: Maria Fragoulopoulou, Camillo Trapani
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-37705-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-37704-5Published: 08 April 2020
eBook ISBN: 978-3-030-37705-2Published: 07 April 2020
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 262
Number of Illustrations: 2 b/w illustrations
Topics: Functional Analysis, Operator Theory, Associative Rings and Algebras