Introduction to Banach Algebras, Operators, and Harmonic Analysis
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Introduction to Banach Algebras, Operators, and Harmonic Analysis by H. Garth Dales
Book DescriptionThis work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.
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Book DetailsISBN: 9780521535847
(228mm x 152mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Nov-2003
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.
Banach Algebras and Automatic Continuity, Hardback (March 2001)
This title 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 algebras, functional analysis, and complex analysis, and has a dash of set theory and logic.
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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