Locally Convex Quasi *-Algebras and Their Representations

By Maria Fragoulopoulou and Camillo Trapani

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.

• Format: Paperback
• Language: English
• ISBN: 3030377040
• ISBN13: 9783030377045
• Release Date: April 2020
• Publisher: Springer
• Length: 262 Pages
• Weight: 0.85 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"