Frequently hypercyclic translation semigroups

Elisabetta M. Mangino; Marina Murillo-Arcila

Studia Mathematica (2015)

  • Volume: 227, Issue: 3, page 219-238
  • ISSN: 0039-3223

Abstract

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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 L p -spaces are also characterized.

How to cite

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Elisabetta M. Mangino, and Marina Murillo-Arcila. "Frequently hypercyclic translation semigroups." Studia Mathematica 227.3 (2015): 219-238. <http://eudml.org/doc/285900>.

@article{ElisabettaM2015,
abstract = {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 $L^\{p\}$-spaces are also characterized.},
author = {Elisabetta M. Mangino, Marina Murillo-Arcila},
journal = {Studia Mathematica},
keywords = {frequent hypercyclicity; weighted pseudo-shifts; translation semigroups},
language = {eng},
number = {3},
pages = {219-238},
title = {Frequently hypercyclic translation semigroups},
url = {http://eudml.org/doc/285900},
volume = {227},
year = {2015},
}

TY - JOUR
AU - Elisabetta M. Mangino
AU - Marina Murillo-Arcila
TI - Frequently hypercyclic translation semigroups
JO - Studia Mathematica
PY - 2015
VL - 227
IS - 3
SP - 219
EP - 238
AB - 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 $L^{p}$-spaces are also characterized.
LA - eng
KW - frequent hypercyclicity; weighted pseudo-shifts; translation semigroups
UR - http://eudml.org/doc/285900
ER -

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