Locally Convex Quasi *-Algebras and their Representations
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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 ...
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.
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.
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