Li–Yorke chaos in linear dynamics-Reference-Cited by-同舟云学术

Li–Yorke chaos in linear dynamics

Published:2014-07-10 Issue:6 Volume:35 Page:1723-1745
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

BERNARDES N. C.,BONILLA A.,MÜLLER V.,PERIS A.

Abstract

We obtain new characterizations of Li–Yorke chaos for linear operators on Banach and Fréchet spaces. We also offer conditions under which an operator admits a dense set or linear manifold of irregular vectors. Some of our general results are applied to composition operators and adjoint multipliers on spaces of holomorphic functions.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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