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Locally Convex Quasi *-Algebras and Their Representations

Locally Convex Quasi *-Algebras and Their Representations

Paperback

Series: Lecture Notes in Mathematics, Book 2257

AlgebraGeneral Mathematics

ISBN10: 3030377040
ISBN13: 9783030377045
Publisher: Springer Nature
Published: Apr 8 2020
Pages: 262
Weight: 0.85
Height: 0.57 Width: 6.14 Depth: 9.21
Language: English
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.

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