Disjoint frequently hypercyclic pseudo-shifts

[en] We obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on c0(N) and ℓp(N), 1≤p<∞. As an application, we characterize disjoint frequently hypercyclic weighted shifts. We give analogous results for the weaker notions of disjoint upper frequent and reiterative hypercyclicity. Finally, we provide counterexamples showing that, although the frequent hypercyclicity, upper frequent hypercyclicity, and reiterative hypercyclicity coincide for weighted shifts on ℓp(N), this equivalence fails for disjoint versions of these notions.

Research center :

CREMMI - Modélisation mathématique et informatique

Disciplines :

Mathematics

Author, co-author :

Martin, Özgür ; Department of Mathematics, Mimar Sinan Fine Arts University, Istanbul, Turkey

Menet, Quentin ; Université de Mons - UMONS > Faculté des Sciences > Service de Probabilité et statistique

Puig, Yunied ; Department of Mathematics, Claremont McKenna College, Claremont, United States

Language :

English

Title :

Disjoint frequently hypercyclic pseudo-shifts

Publication date :

July 2022

Journal title :

Journal of Functional Analysis

ISSN :

0022-1236

eISSN :

1096-0783

Publisher :

Academic Press Inc.

Volume :

283

Issue :

Pages :

109474

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0022123622000945?httpAccept=text/xml

Research unit :

S844 - Probabilité et statistique

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Funding text :

The first author was partially supported by Mimar Sinan Fine Arts University Scientific Research Project [grant no. 2018-15].The second author is a Research Associate of the Fonds de la Recherche Scientifique - FNRS. This work was supported in part by the project FRONT of the French National Research Agency (grant ANR-17-CE40-0021).

Available on ORBi UMONS :

since 03 June 2022

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Bibliography

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