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

Von: Mitwirkende(r): Materialtyp: TextTextSprache: Englisch Reihen: ; 2257 | Lecture notes in mathematics ; 2257Verlag: Cham, Switzerland Springer [2020]Copyright-Datum: © 2020Beschreibung: vii, 260 Seiten Illustrationen 24 cmInhaltstyp:
  • Text
Medientyp:
  • ohne Hilfsmittel zu benutzen
Datenträgertyp:
  • Band
ISBN:
  • 9783030377045
Schlagwörter: Andere physische Formen: Kein Titel; Erscheint auch als: Locally convex quasi *-algebras and their representationsAndere Klassifikation:
  • 46H05
  • 46H15
  • 46H20
  • 47L60
  • 31.23
  • 31.46
  • 31.47
Online-Ressourcen: Zusammenfassung: 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.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Fragoulopoulou, Maria: Locally convex quasi *-algebras and their representations
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Literaturverzeichnis: Seite 249-254

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.

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

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