Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Operator Theory: Advances and Applications
139 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (X, 382 p) |
| ISBN: | 9783034877886 9783034877909 |
| DOI: | 10.1007/978-3-0348-7788-6 |
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| 490 | 0 | |a Operator Theory: Advances and Applications |v 139 | |
| 500 | |a 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. | ||
| 500 | |a 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. | ||
| 500 | |a 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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Datensatz im Suchindex
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| author | Müller, Vladimir |
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| author_sort | Müller, Vladimir |
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| building | Verbundindex |
| bvnumber | BV042421964 |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-7788-6 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9783034877886 9783034877909 |
| language | English |
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| spelling | Müller, Vladimir Verfasser aut Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras by Vladimir Müller Basel Birkhäuser Basel 2003 1 Online-Ressource (X, 382 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 139 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 Mathematics Operator theory Operator Theory Mathematik Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Linearer Operator (DE-588)4167721-3 s Banach-Algebra (DE-588)4193187-7 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-7788-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Müller, Vladimir Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras Mathematics Operator theory Operator Theory Mathematik Spektraltheorie (DE-588)4116561-5 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4167721-3 (DE-588)4193187-7 |
| title | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras |
| title_auth | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras |
| title_exact_search | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras |
| title_full | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras by Vladimir Müller |
| title_fullStr | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras by Vladimir Müller |
| title_full_unstemmed | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras by Vladimir Müller |
| title_short | Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras |
| title_sort | spectral theory of linear operators and spectral systems in banach algebras |
| topic | Mathematics Operator theory Operator Theory Mathematik Spektraltheorie (DE-588)4116561-5 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Mathematics Operator theory Operator Theory Mathematik Spektraltheorie Linearer Operator Banach-Algebra |
| url | https://doi.org/10.1007/978-3-0348-7788-6 |
| work_keys_str_mv | AT mullervladimir spectraltheoryoflinearoperatorsandspectralsystemsinbanachalgebras |