We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-2,
author = {Luis Bernal-Gonz\'alez},
title = {Disjoint hypercyclic operators},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {113-131},
zbl = {1134.47006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-2}
}
Luis Bernal-González. Disjoint hypercyclic operators. Studia Mathematica, Tome 178 (2007) pp. 113-131. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-2/