Dynamics of linear operators:
The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first tim...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2009
|
| Series: | Cambridge tracts in mathematics
179 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first time in book form. Selected topics include various kinds of 'existence theorems', the role of connectedness in hypercyclicity, linear dynamics and ergodic theory, frequently hypercyclic and chaotic operators, hypercyclic subspaces, the angle criterion, universality of the Riemann zeta function, and an introduction to operators without non-trivial invariant subspaces. Many original results are included, along with important simplifications of proofs from the existing research literature, making this an invaluable guide for students of the subject. This book will be useful for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level |
| Physical Description: | 1 Online-Ressource (xiv, 337 Seiten) |
| ISBN: | 9780511581113 |
| DOI: | 10.1017/CBO9780511581113 |
Staff View
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| 520 | |a The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first time in book form. Selected topics include various kinds of 'existence theorems', the role of connectedness in hypercyclicity, linear dynamics and ergodic theory, frequently hypercyclic and chaotic operators, hypercyclic subspaces, the angle criterion, universality of the Riemann zeta function, and an introduction to operators without non-trivial invariant subspaces. Many original results are included, along with important simplifications of proofs from the existing research literature, making this an invaluable guide for students of the subject. This book will be useful for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level | ||
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| author | Bayart, Frédéric |
| author_facet | Bayart, Frédéric |
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| contents | Hypercyclic and supercyclic operators -- Hypercyclicity everywhere -- Connectedness and hypercyclicity -- Weakly mixing operators -- Ergodic theory and linear dynamics -- Beyond hypercyclicity -- Common hypercyclic vectors -- Hypercyclic subspaces -- Supercyclicity and the Angle Criterion -- Linear dynamics and the weak topology -- Universality of the Riemann zeta function -- Introduction to Read-type operators |
| ctrlnum | (ZDB-20-CBO)CR9780511581113 (OCoLC)850934432 (DE-599)BVBBV043941668 |
| dewey-full | 515.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7246 |
| dewey-search | 515.7246 |
| dewey-sort | 3515.7246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511581113 |
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| id | DE-604.BV043941668 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511581113 |
| language | English |
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| physical | 1 Online-Ressource (xiv, 337 Seiten) |
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| publishDate | 2009 |
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| publisher | Cambridge University Press |
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| spelling | Bayart, Frédéric Verfasser aut Dynamics of linear operators Frédéric Bayart, Étienne Matheron Cambridge Cambridge University Press 2009 1 Online-Ressource (xiv, 337 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 179 Hypercyclic and supercyclic operators -- Hypercyclicity everywhere -- Connectedness and hypercyclicity -- Weakly mixing operators -- Ergodic theory and linear dynamics -- Beyond hypercyclicity -- Common hypercyclic vectors -- Hypercyclic subspaces -- Supercyclicity and the Angle Criterion -- Linear dynamics and the weak topology -- Universality of the Riemann zeta function -- Introduction to Read-type operators The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first time in book form. Selected topics include various kinds of 'existence theorems', the role of connectedness in hypercyclicity, linear dynamics and ergodic theory, frequently hypercyclic and chaotic operators, hypercyclic subspaces, the angle criterion, universality of the Riemann zeta function, and an introduction to operators without non-trivial invariant subspaces. Many original results are included, along with important simplifications of proofs from the existing research literature, making this an invaluable guide for students of the subject. This book will be useful for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level Linear operators Linearer Operator (DE-588)4167721-3 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Ergodentheorie (DE-588)4015246-7 s DE-604 Matheron, Étienne Sonstige oth Erscheint auch als Druck-Ausgabe 978-0-521-51496-5 https://doi.org/10.1017/CBO9780511581113 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bayart, Frédéric Dynamics of linear operators Hypercyclic and supercyclic operators -- Hypercyclicity everywhere -- Connectedness and hypercyclicity -- Weakly mixing operators -- Ergodic theory and linear dynamics -- Beyond hypercyclicity -- Common hypercyclic vectors -- Hypercyclic subspaces -- Supercyclicity and the Angle Criterion -- Linear dynamics and the weak topology -- Universality of the Riemann zeta function -- Introduction to Read-type operators Linear operators Linearer Operator (DE-588)4167721-3 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4167721-3 (DE-588)4015246-7 |
| title | Dynamics of linear operators |
| title_auth | Dynamics of linear operators |
| title_exact_search | Dynamics of linear operators |
| title_full | Dynamics of linear operators Frédéric Bayart, Étienne Matheron |
| title_fullStr | Dynamics of linear operators Frédéric Bayart, Étienne Matheron |
| title_full_unstemmed | Dynamics of linear operators Frédéric Bayart, Étienne Matheron |
| title_short | Dynamics of linear operators |
| title_sort | dynamics of linear operators |
| topic | Linear operators Linearer Operator (DE-588)4167721-3 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Linear operators Linearer Operator Ergodentheorie |
| url | https://doi.org/10.1017/CBO9780511581113 |
| work_keys_str_mv | AT bayartfrederic dynamicsoflinearoperators AT matheronetienne dynamicsoflinearoperators |