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...
Enregistré dans:
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Udgivelse: | 2nd ed. 2007. |
| Serier: | Operator Theory: Advances and Applications
139 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
L'impression du document génère 443 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Version électronique de la seconde édition datant de 2007 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Spectral theory of linear operators, and spectral systems in Banach algebras, Vladimir Müller, 2nd edition, Boston, MA, Birkhäuser, 2007, 1 vol. (VIII-439 p.), Operator theory, advances and applications, 978-3-7643-8264-3 • Spectral Theory of Linear Operators, Texte imprimé, 9783764391904 • Spectral theory of linear operators, and spectral systems in Banach algebras, Vladimir Müller, 2nd edition, Boston, MA, Birkhäuser, 2007, 1 vol. (VIII-439 p.), Operator theory, advances and applications, 978-3-7643-8264-3 |
| Summary: | 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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| Emne beskrivelse: | L'impression du document génère 443 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) Version électronique de la seconde édition datant de 2007 |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9783764382650 |
| ISSN: | 2296-4878 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |