Li-Yorke chaos in linear dynamics

0446406 - MÚ 2016 RIV US eng J - Journal Article
Bernardes Jr., N.C. - Bonilla, A. - Müller, Vladimír - Peris, A.
Li-Yorke chaos in linear dynamics.
Ergodic Theory and Dynamical Systems. Roč. 35, č. 6 (2015), s. 1723-1745. ISSN 0143-3857. E-ISSN 1469-4417
R&D Projects: GA ČR GA201/09/0473; GA AV ČR IAA100190903
Institutional support: RVO:67985840
Keywords : Li-York chaos * Banach space * Fréchet space
Subject RIV: BA - General Mathematics
Impact factor: 0.983, year: 2015
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9884748&fileId=S0143385714000200

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.
Permanent Link: http://hdl.handle.net/11104/0248418