TY - BOOK AU - Dales,H.G. TI - Introduction to Banach algebras, operators, and harmonic analysis T2 - London Mathematical Society student texts SN - 9780511615429 (ebook) AV - QA326 .D35 2003 U1 - 512/.55 21 PY - 2003/// CY - Cambridge PB - Cambridge University Press KW - Banach algebras KW - Operator theory KW - Harmonic analysis N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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 UR - https://doi.org/10.1017/CBO9780511615429 ER -