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

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

9783030377052 (electronic book)
3030377059 (electronic book)
9783030377045

https://doi.org/10.1007/978-3-030-37705-2
https://doi.org/10.1007/978-3-030-37

Cham : Springer, 2020.

English

1 online resource (267 pages).

10.1007/978-3-030-37705-2 doi
10.1007/978-3-030-37

QA251

516.3/53

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.

Includes bibliographical references and index.

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

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