2 citations · 3 across the 3 of their papers we have counts for
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Strong mixing measures for linear operators and frequent hypercyclicity
Marina Murillo-Arcila, Alfredo Peris
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 s…
Frequently hypercyclic semigroups
E. M. Mangino, A. Peris
We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be fre…
Li-Yorke and distributionally chaotic operators
T. Bermudez, A. bonilla, F. Martínez-Giménez +1
We study Li-Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li-Yorke chaos in terms of the existence of irregular vectors. Suff…
Frequent hypercyclicity, chaos, and unconditional Schauder decompositions
Manuel De la Rosa, Leonhard Frerick, Sophie Grivaux +1
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently…