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Book Cover
Author Bayart, Frédéric.

Title Dynamics of linear operators / Frédéric Bayart, Étienne Matheron
Published Cambridge ; New York : Cambridge University Press, ©2009


Description 1 online resource (xiv, 337 pages)
Series Cambridge tracts in mathematics ; 179
Cambridge tracts in mathematics ; 179.
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
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
Bibliography Includes bibliographical references (pages 321-330) and indexes
Notes Print version record
Subject Linear operators.
MATHEMATICS -- Functional Analysis.
Linear operators.
Form Electronic book
Author Matheron, Étienne
ISBN 9780511580796