文档介绍：This work has arisen from lecture courses given by the authors on impor-
tant topics within functional analysis. The authors, who are all leading re-
searchers, give introductions to their subjects at a level ideal for beginning
graduate students, as well as others interested in the subject. The collection has
been carefully edited to form a coherent and accessible introduction to current
research topics.
The first part of the book, 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 pact 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.
LONDON MATHEMATICAL SOCIETY STUDENT TEXTS
Managing editor: Professor W. Bruce, Department of Mathematics
University of Liverpool, United Kingdom
3 Local fields, J. W. S. CASSELS
4 An introduction to twister theory, second edition, S. A. HUGGET & K. P. TOD
5 Introduction to general relativity, L. P. HUGHSTON & K. P. TOD
7 The theory of evolution and dynamical systems, J. HOFBAUER & K. SIGMUND
8 Summing and nuclear norms in Banach space theory, G. J. O. JAMESON
9 Automorphisms of surfaces after Nielson and Thurston, A. CASSON & S. BLEILER
11 Spacetime and singularities, G. NABER
12 Undergraduate algebraic geometry, M. REID
13 An Introduction to Hankel operators, J. R. PARTINGTON
15 Presentations of groups, second edition, D. L. JOHNSON
17 Aspects of quantum field theory in curved spacetime, S. A. FULLING
18 Braids and coverings: Selected topics, V. LUNDSGAARD HANSEN
19 Steps mutative algebra, R. Y. SHARP
munication theory, C. M. GOLDIE & R. G. E. PINCH
21 Repre