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Spectral Theory of Linear Operators : and Spectral Systems in Banach Algebras
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, esse...
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Spectral Theory of Linear Operators : and Spectral Systems in Banach Algebras / Vladimir Müller. |
| Édition : | 2nd ed. 2007. |
| Publié : |
Basel :
Birkhäuser Basel
, [20..] Cham : Springer Nature |
| Collection : | Operator theory (Online) ; 139 |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
| Note sur l'URL : | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex |
| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Version électronique de la seconde édition datant de 2007 |
| Contenu : | Banach Algebras. Operators. Essential Spectrum. Taylor Spectrum. Orbits and Capacity |
| Sujets : | |
| Documents associés : | Autre format:
Spectral theory of linear operators Autre format: Spectral Theory of Linear Operators Autre format: Spectral theory of linear operators |
| 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. The theory is presented in a unified, axiomatic and elementary way. Many results appear here for the first time in a monograph. The material is self-contained. Only a basic knowledge of functional analysis, topology, and complex analysis is assumed. The monograph should appeal both to students who would like to learn about spectral theory and to experts in the field. It can also serve as a reference book. The present second edition contains a number of new results, in particular, concerning orbits and their relations to the invariant subspace problem. 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. The theory is presented in a unified, axiomatic and elementary way. Many results appear here for the first time in a monograph. The material is self-contained. Only a basic knowledge of functional analysis, topology, and complex analysis is assumed. The present second edition contains a number of new results, in particular, concerning orbits and their relations to the invariant subspace problem. Due to its very clear style and the careful organization of the material, this truly brilliant book may serve as an introduction into the field, yet it also provides an excellent source of information on specific topics in spectral theory for the working mathematician. Review of the first edition by M. Grosser, Vienna Monatshefte für Mathematik Vol. 146, No. 1/2005 |
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| Notes : | L'impression du document génère 443 p. |
| Bibliographie : | Bibliogr. Index |
| ISBN : | 978-3-7643-8265-0 |
| DOI : | 10.1007/978-3-7643-8265-0 |