Locally Convex Quasi *-Algebras and their Representations
Produktnummer:
1866d2736d85754c8e84b3ac9a1e523974
| Autor: | Fragoulopoulou, Maria Trapani, Camillo |
|---|---|
| Themengebiete: | Partial *-algebras Quasi *-algebras Representation Theory Spectral Theory Unbounded Operator Algebras |
| Veröffentlichungsdatum: | 08.04.2020 |
| EAN: | 9783030377045 |
| Sprache: | Englisch |
| Seitenzahl: | 262 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Locally Convex Quasi *-Algebras and their Representations"
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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