Operators with the specification property

We study a version of the specification property for linear dynamics. Operators having the specification property are investigated, and relationships with other well known dynamical notions such as mixing, Devaney chaos, and frequent hypercyclicity are obtained.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 436; no. 1; pp. 478 - 488
Main Authors Bartoll, Salud, Martínez-Giménez, Félix, Peris, Alfredo
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2016
Subjects
Frequently hypercyclic operators
Hypercyclic operators
Specification property
Hypercyclic operators
Specification property
Frequently hypercyclic operators
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Summary:We study a version of the specification property for linear dynamics. Operators having the specification property are investigated, and relationships with other well known dynamical notions such as mixing, Devaney chaos, and frequent hypercyclicity are obtained.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2015.12.004