Banach Algebras and Automatic Continuity
By (author) H. Garth Dales
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Banach Algebras and Automatic Continuity by H. Garth Dales
Book DescriptionBanach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps. The book synthesizes work over the last 20 years, and gives a definitive account; there are many new and unpublished results. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*-algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.
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Book DetailsISBN: 9780198500131
(242mm x 165mm x 52mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 15-Mar-2001
Country of Publication: United Kingdom
Books By Author H. Garth Dales
Introduction to Banach Spaces and Algebras, Hardback (November 2010)
A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.
Introduction to Banach Algebras, Operators, and Harmonic Analysis, Hardback (November 2003)
Introduction to important topics in functional analysis from leading researchers. Ideal for graduate students.
Super-Real Fields, Hardback (May 1996)» View all books by H. Garth Dales
This advanced text expounds the established theory of ordered fields, and continues to develop a quite original theory of super-real fields. This theory has important applications in analysis and logic.
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