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200506 ||| eng |
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|a 9783030377052
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|a Fragoulopoulou, Maria
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|a Locally Convex Quasi *-Algebras and their Representations
|h Elektronische Ressource
|c by Maria Fragoulopoulou, Camillo Trapani
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| 250 |
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|a 1st ed. 2020
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2020, 2020
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| 300 |
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|a VII, 262 p. 2 illus
|b online resource
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| 653 |
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|a Associative algebras
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| 653 |
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|a Functional analysis
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Operator theory
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| 653 |
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|a Associative rings
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| 653 |
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|a Operator Theory
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| 653 |
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|a Associative Rings and Algebras
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| 700 |
1 |
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|a Trapani, Camillo
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
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|a 10.1007/978-3-030-37705-2
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| 856 |
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|u https://doi.org/10.1007/978-3-030-37705-2?nosfx=y
|x Verlag
|3 Volltext
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|a 515.7
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| 520 |
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|a 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
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