Locally convex quasi *-algebras and their representations
Fragoulopoulou, Maria
Locally convex quasi *-algebras and their representations Maria Fragoulopoulou, Camillo Trapani - vii, 260 Seiten Illustrationen 24 cm - Lecture notes in mathematics 2257 . - 2257 . - Lecture notes in mathematics 2257 .
Literaturverzeichnis: Seite 249-254
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.
Fragoulopoulou, Maria: Locally convex quasi *-algebras and their representations
9783030377045
10.1007/978-3-030-37705-2 doi
169724081X DE-576
Functional analysis.
Operator theory.
Associative rings.
Rings (Algebra).
Locally convex quasi *-algebras and their representations Maria Fragoulopoulou, Camillo Trapani - vii, 260 Seiten Illustrationen 24 cm - Lecture notes in mathematics 2257 . - 2257 . - Lecture notes in mathematics 2257 .
Literaturverzeichnis: Seite 249-254
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.
Fragoulopoulou, Maria: Locally convex quasi *-algebras and their representations
9783030377045
10.1007/978-3-030-37705-2 doi
169724081X DE-576
Functional analysis.
Operator theory.
Associative rings.
Rings (Algebra).