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Locally Convex Quasi *-Algebras and their Representations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Locally Convex Quasi *-Algebras and their Representations/ by Maria Fragoulopoulou, Camillo Trapani.
Author:	Fragoulopoulou, Maria.
other author:	Trapani, Camillo.
Description:	VII, 262 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-37705-2
ISBN:	9783030377052

Locally Convex Quasi *-Algebras and their Representations
Fragoulopoulou, Maria.

Locally Convex Quasi *-Algebras and their Representations[electronic resource] /by Maria Fragoulopoulou, Camillo Trapani. - 1st ed. 2020. - VII, 262 p. 2 illus.online resource. - Lecture Notes in Mathematics,22570075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

ISBN: 9783030377052

Standard No.: 10.1007/978-3-030-37705-2doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Locally Convex Quasi *-Algebras and their Representations
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