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Strong mixing measures for linear operators and frequent hypercyclicicity.

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URI: http://hdl.handle.net/10498/35569

DOI: 10.1016/J.JMAA.2012.08.050

ISSN: 0022-247X

ISSN: 1096-0813

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Author/s
Murillo Arcila, MarinaAuthority UCA; Peris, A.
Date
2013
Department
Matemáticas
Source
J. Math. Anal. Appl., 398 (2013) 462–465
Abstract
We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows that one can even obtain exact invariant measures.
Subjects
Hypercyclic operators; Strongly mixing measures
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  • Artículos Científicos [11595]
  • Articulos Científicos Matemáticas [506]

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