Banach Algebras and Automatic Continuity

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ID: 298628
2001
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Abstract
Abstract Banach 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 The book synthesizes work over the last 20 years, and gives a definitive account; there are many new and unpublished results.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.
Reference Key
openalex_W2119357458 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors H. G. Dales
Journal Oxford University Press eBooks
Year 2001
DOI
10.1093/oso/9780198500131.001.0001
URL
https://doi.org/10.1093/oso/9780198500131.001.0001
Keywords Keywords not found

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