书目名称 | Locally Convex Quasi *-Algebras and their Representations |
编辑 | Maria Fragoulopoulou,Camillo Trapani |
视频video | |
概述 | Important for applications in Mathematical Physics.Will be of interest to researchers in topological algebras.Suitable as a textbook for PhD courses.Includes an appendix on *-algebras useful for advan |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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.. |
出版日期 | Book 2020 |
关键词 | Partial *-algebras; Quasi *-algebras; Representation Theory; Spectral Theory; Unbounded Operator Algebra |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-37705-2 |
isbn_softcover | 978-3-030-37704-5 |
isbn_ebook | 978-3-030-37705-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer Nature Switzerland AG 2020 |