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London Mathematical Society Student Texts


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Table of Contents

1. Banach algebras; 2. Harmonic analysis and amenability; 3. Invariant subspaces; 4. Local spectral theory; 5. Single-valued extension property and Fredholm theory.

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Introduction to important topics in functional analysis from leading researchers. Ideal for graduate students.


'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 [H. G. 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

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