Maria Fragoulopoulou - Böcker
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3 produkter
3 produkter
Del 2257 - Lecture Notes in Mathematics
Locally Convex Quasi *-Algebras and their Representations
Häftad, Engelska, 2020
586 kr
Skickas inom 10-15 vardagar
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.
Del 2298 - Lecture Notes in Mathematics
Generalized B*-Algebras and Applications
Häftad, Engelska, 2022
402 kr
Skickas inom 5-8 vardagar
This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions.
2 608 kr
Skickas inom 3-6 vardagar
The Gelfand theory of Banach algebras is presented in this book, along with several significant applications. The famed commutative and non-commutative Gelfand-Naimark theorems are then addressed, and intriguing applications of them are shown, after presenting C*-algebras and using the prior theory.