Introduction to Banach Algebras, Operators, and Harmonic Analysis

ISBN-13: 9780521828932 / Angielski / Twarda / 2003 / 336 str.

Garth Dales; Pietro Aiena; Jorg Eschmeier

Opis

Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research in the field. The authors survey several areas of current interest, making this volume ideal preparatory reading for students embarking on graduate work as well as for mathematicians working in related areas.

Recenzje

'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

Spis treści

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