Introduction to Banach Algebras, Operators, and Harmonic Analysis
Introduction to Banach Algebras, Operators, and Harmonic Analysis
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Summary
Arising from lecture courses given by the authors, this book gives introductions to important topics in functional analysis at a level ideal for beginning graduate students as well as others interested in the subject. The collection is carefully written to form a coherent and accessible introduction to current research topics.
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Introduction to Banach Algebras, Operators, and Harmonic Analysis by H Garth Dales
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.
'In view of the book's genesis, it is clear that it is quite heterogeneous … This heterogeneity, however, turns out to be one of the volume's strengths: it presents five concise introductions to important parts of functional analysis, each of which conveys its author's outlook on the field … It will certainly be quite useful for new graduate students as well as for non-specialists in the areas covered who want to get a quick overview before delving into dautingly thick treatises as the one by [HG. Dales ['Banach algebras and automatic continuity', Lond. Math. Soc. Monographs. New Series 24 (2000; Zbl 981.46043)] (on Banach algebras) or K. B. Laursen and M. M. Neumann …'. Zentralblatt MATH
The author, Pietro Aiena, is a Professor of Mathematics at the University of Palermo and a well-known authority on Operator Theory.
He has published a number of papers over the years in journals of repute. A very high proportion of his published work in local spectral theory and Fredholm theory is held in high regard by his peers.
| SKU | Unavailable |
| ISBN 13 | 9780521535847 |
| ISBN 10 | 0521535840 |
| Title | Introduction to Banach Algebras, Operators, and Harmonic Analysis |
| Author | H Garth Dales |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2003-11-13 |
| Number of pages | 336 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |