Locally Convex Quasi *-Algebras and their Representations

1. Auflage 2020
ISBN: 978-3-030-37704-5
Verlag: Springer International Publishing

Buch, Englisch, Band 2257, 262 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 417 g

Reihe: Lecture Notes in Mathematics

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 usualtheory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.

Zielgruppe

Research

Autoren/Hrsg.

Trapani, Camillo

Fragoulopoulou, Maria

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

- Introduction. - Algebraic Aspects. - Normed Quasi *-Algebras: Basic Theory and Examples. - Normed Quasi *-Algebras: Bounded Elements and Spectrum. - CQ*-Algebras. - Locally Convex Quasi *-Algebras. - Locally Convex Quasi C*-Algebras and Their Structure.