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This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Table des matières
Banach Algebras.- Operators.- Essential Spectrum.- Taylor Spectrum.- Orbits and Capacity.
Résumé
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Texte suppl.
From the reviews of the second edition:
“This is a nicely written and useful book. It is to a large extent self-contained, so that it can be read … not only by specialists and by Ph. D. students specializing in operator theory, but also by university students of higher courses, who are familiar with basic facts on Banach spaces.” (Wiesław Tadeusz Żelazko, Zentralblatt MATH, Vol. 1208, 2011)
Commentaire
From the reviews of the second edition:
"This is a nicely written and useful book. It is to a large extent self-contained, so that it can be read ... not only by specialists and by Ph. D. students specializing in operator theory, but also by university students of higher courses, who are familiar with basic facts on Banach spaces." (Wieslaw Tadeusz _elazko, Zentralblatt MATH, Vol. 1208, 2011)
