Frequent hypercyclicity for translation C₀-semigroups on weighted spaces of continuous functions is studied. The results are achieved by establishing an analogy between frequent hypercyclicity for translation semigroups and for weighted pseudo-shifts and by characterizing frequently hypercyclic weighted pseudo-shifts on spaces of vanishing sequences. Frequently hypercyclic translation semigroups on weighted -spaces are also characterized.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-3-2,
author = {Elisabetta M. Mangino and Marina Murillo-Arcila},
title = {Frequently hypercyclic translation semigroups},
journal = {Studia Mathematica},
volume = {231},
year = {2015},
pages = {219-238},
zbl = {1341.47007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-3-2}
}
Elisabetta M. Mangino; Marina Murillo-Arcila. Frequently hypercyclic translation semigroups. Studia Mathematica, Tome 231 (2015) pp. 219-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm227-3-2/