TY  - BOOK
AU  - Fragoulopoulou,Maria
AU  - Trapani,Camillo
ED  - Springer International Publishing
TI  - Locally convex quasi *-algebras and their representations
T2  - Lecture notes in mathematics
SN  - 9783030377045
PY  - 2020///]
CY  - Cham, Switzerland
PB  - Springer
KW  - Functional analysis
KW  - Operator theory
KW  - Associative rings
KW  - Rings (Algebra)
KW  - Algebra mit Involution
N1  - Literaturverzeichnis: Seite 249-254
N2  - 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 usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples
UR  - https://www.gbv.de/dms/tib-ub-hannover/169724081x.pdf
ER  -