UID:
almahu_9948336504302882
Format:
VII, 262 p. 2 illus.
,
online resource.
Edition:
1st ed. 2020.
ISBN:
9783030377052
Series Statement:
Lecture Notes in Mathematics, 2257
Content:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783030377045
Additional Edition:
Printed edition: ISBN 9783030377069
Language:
English
DOI:
10.1007/978-3-030-37705-2
URL:
https://doi.org/10.1007/978-3-030-37705-2
