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Locally convex quasi *-algebras and ...

Fragoulopoulou, Maria.

Locally convex quasi *-algebras and their representations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Locally convex quasi *-algebras and their representationsby Maria Fragoulopoulou, Camillo Trapani.
Author:	Fragoulopoulou, Maria.
other author:	Trapani, Camillo.
Published:	Cham :Springer International Publishing :2020.
Description:	vii, 262 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quasivarieties (Universal algebra)
Online resource:	https://doi.org/10.1007/978-3-030-37705-2
ISBN:	9783030377052$q(electronic bk.)

Locally convex quasi *-algebras and their representations
Fragoulopoulou, Maria.

Locally convex quasi *-algebras and their representations[electronic resource] /by Maria Fragoulopoulou, Camillo Trapani. - Cham :Springer International Publishing :2020. - vii, 262 p. :ill., digital ;24 cm. - Lecture notes in mathematics,22570075-8434 ;. - Lecture notes in mathematics ;2035..

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$q(electronic bk.)

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

822433
Quasivarieties (Universal algebra)

LC Class. No.: QA251 / .F734 2020

Dewey Class. No.: 516.353

Locally convex quasi *-algebras and their representations
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245 1 0 $a Locally convex quasi *-algebras and their representations $h [electronic resource] / $c by Maria Fragoulopoulou, Camillo Trapani.
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490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2257
520 $a 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.
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