Locally convex quasi *-algebras and their representations / Maria Fragoulopoulou, Camillo Trapani.

Format:

Book

Author/Creator:

Fragoulopoulou, Maria, author.

Trapani, C. (Camillo), author.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2257.

Lecture notes in mathematics, 0075-8434 ; 2257

Language:

English

Subjects (All):

Quasivarieties (Universal algebra).

Locally convex spaces.

Representations of algebras.

Physical Description:

vii, 260 pages ; 24 cm.

Place of Publication:

Cham, Switzerland : Springer, [2020]

Summary:

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.

Notes:

Includes bibliographical references and index.

Current copyright fee: GBP19.00 42\0.

ISBN:

9783030377045

3030377040

OCLC:

1128452571

Publisher Number:

10.1007/9783030377052