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Dynamics of linear operators
~
Bayart, Frederic.
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Dynamics of linear operators
Record Type:
Electronic resources : Monograph/item
Title/Author:
Dynamics of linear operators/ Frederic Bayart, Etienne Matheron.
Author:
Bayart, Frederic.
other author:
Matheron, Etienne.
Published:
Cambridge :Cambridge University Press, : 2009.,
Description:
xiv, 337 p. :ill., digital ;24 cm.
Notes:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:
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.
Subject:
Linear operators. -
Online resource:
https://doi.org/10.1017/CBO9780511581113
ISBN:
9780511581113
Dynamics of linear operators
Bayart, Frederic.
Dynamics of linear operators
[electronic resource] /Frederic Bayart, Etienne Matheron. - Cambridge :Cambridge University Press,2009. - xiv, 337 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;179. - Cambridge tracts in mathematics ;179..
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
ISBN: 9780511581113Subjects--Topical Terms:
576799
Linear operators.
LC Class. No.: QA329.2 / .B39 2009
Dewey Class. No.: 515.7246
Dynamics of linear operators
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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.
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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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https://doi.org/10.1017/CBO9780511581113
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EB QA329.2 .B39 2009
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