Results 51 to 60 of about 475 (70)

The Specification Property for $C_0$-Semigroups

, 2018
We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups of ...
Bartoll, S., Martínez-Giménez, F., Peris, A., Rodenas, F.   +3 more
core  

Mean Li-Yorke chaos in Banach spaces

, 2018
We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C., Bonilla, A., Peris, A.   +2 more
core  

Some recent work in Frechet geometry

, 2011
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
core  

Strong mixing measures for $C_0$-semigroups

, 2013
Our purpose is to obtain a very effective and general method to prove that certain $C_0$-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for $C_0$-semigroups ensures the existence of
Murillo-Arcila, Marina, Peris, Alfredo
core  

Distributional chaos for weighted translation operators on groups

, 2018
In this paper, we initiate the study of distributional chaos for weighted translations on locally compact groups, and give a sufficient condition for such operators to be distributionally chaotic. We also investigate the set of distributionally irregular
Chen, Chung-Chuan, Chen, Kui-Yo, Kostić, Marko   +2 more
core  

THE $M$-HYPERCYCLICITY CRITERION OF $C_{0}$-SEMIGROUPS [PDF]

International Journal of Pure and Apllied Mathematics, 2017
A. Tajmouati, A. El Bakkali, A. Toukmati
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Common Hypercyclic Vectors and the Hypercyclicity Criterion

Integral Equations and Operator Theory, 2009
An operator on a separable, infinite dimensional Banach space satisfies the Hypercyclicity Criterion if and only if the associated left multiplication operator is hypercyclic; see [14], [16], [29]. By examining paths of operators where each operator along the path satisfies the criterion, we provide necessary and sufficient conditions for a path of ...
openaire   +3 more sources

The Hypercyclicity Criterion

Universitext, 2011
This chapter presents several criteria for hypercyclicity, weak mixing, mixing and chaos, in increasing order of sophistication. It culminates in the Hypercyclicity Criterion, which is discussed in detail. We prove, among other things, that the Hypercyclicity Criterion characterizes the weak mixing property.
Karl-G. Grosse-Erdmann, Alfred Peris Manguillot   +1 more
openaire   +3 more sources

Hypercyclicity on the Algebra of Hilbert-Schmidt Operators

Resultate Der Mathematik, 2013
Hamid Rezaei
exaly  

Subspace hypercyclicity

Journal of Mathematical Analysis and Applications, 2011
Ruben A Martinez-Avendaño
exaly