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Locally Convex Quasi -Algebras and their Representations [[electronic resource] /] / by Maria Fragoulopoulou, Camillo Trapani



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Autore: Fragoulopoulou Maria Visualizza persona
Titolo: Locally Convex Quasi -Algebras and their Representations [[electronic resource] /] / by Maria Fragoulopoulou, Camillo Trapani Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Edizione: 1st ed. 2020.
Descrizione fisica: 1 online resource (VII, 262 p. 2 illus.)
Disciplina: 516.353
Soggetto topico: Functional analysis
Operator theory
Associative rings
Rings (Algebra)
Functional Analysis
Operator Theory
Associative Rings and Algebras
Persona (resp. second.): TrapaniCamillo
Nota di bibliografia: Includes bibliographical references and index.
Sommario/riassunto: 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.
Titolo autorizzato: -Algebras and their Representations  Visualizza cluster
ISBN: 3-030-37705-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996418185403316
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2257