Banach Algebras and Automatic Continuity by H. Garth Dales - 9780198500131

Banach Algebras and Automatic ContinuityAuthor(s): H. Garth Dales\nFormat: Hardback\nPublisher: Oxford University Press, United Kingdom\nImprint: Oxford University Press\nISBN-13: 9780198500131, 978-0198500131\nSynopsis\nBanach 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 The book synthesizes work over the last 20 years, and gives a definitive account; there are many new and unpublished results.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. T.