This 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.
| ISBN: | 9780521535847 |
| Publication date: | 13th November 2003 |
| Author: | H Garth University of Leeds Dales, Pietro Università degli Studi, Palermo, Italy Aiena, Jörg Universität des S Eschmeier |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 336 pages |
| Series: | London Mathematical Society Student Texts |
| Genres: |
Functional analysis and transforms |