In this note we make a review of some examples of hypercyclic C_0 semigroups that arise as solutions of some partial differential equations. Sufficient conditions for hypercyclicity based on the spectral properties of the infinitesimal generator of the semigroup are also discussed. Moreover, we present new results concerning hypercylcicity if semigroups generated by Ornstein-Uhlenbeck operators
Our purpose is to obtain a very effective and general method to prove that certain C0 -semigroups a...
We give characterizations of chaos for $C_0$-semigroups induced by semiflows on $L^p_\rho(\Omega)$ f...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...
The chaotic and hypercyclic behavior of the C0-semigroups of operators generated by a perturbation o...
AbstractLet {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) ...
Abstract. We study frequent hypercyclicity in the context of strongly continuous semigroups of opera...
Abstract. Hypercyclicity of C0-semigroups is a very unstable property: We give examples to show that...
AbstractLet {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) ...
We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More...
During the last years, several notions have been introduced for describing the dynamical behavior of...
AbstractProperties of infinitesimal generators of C0 semigroups of semi-Fredholm operators are inves...
Even linear operators on infinite-dimensional spaces can display interesting dynamical prop-erties a...
We give a complete characterization of existence of dense orbit for any abelian semigroup of matrice...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
Our purpose is to obtain a very effective and general method to prove that certain C0 -semigroups a...
We give characterizations of chaos for $C_0$-semigroups induced by semiflows on $L^p_\rho(\Omega)$ f...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...
The chaotic and hypercyclic behavior of the C0-semigroups of operators generated by a perturbation o...
AbstractLet {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) ...
Abstract. We study frequent hypercyclicity in the context of strongly continuous semigroups of opera...
Abstract. Hypercyclicity of C0-semigroups is a very unstable property: We give examples to show that...
AbstractLet {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) ...
We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More...
During the last years, several notions have been introduced for describing the dynamical behavior of...
AbstractProperties of infinitesimal generators of C0 semigroups of semi-Fredholm operators are inves...
Even linear operators on infinite-dimensional spaces can display interesting dynamical prop-erties a...
We give a complete characterization of existence of dense orbit for any abelian semigroup of matrice...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
Our purpose is to obtain a very effective and general method to prove that certain C0 -semigroups a...
We give characterizations of chaos for $C_0$-semigroups induced by semiflows on $L^p_\rho(\Omega)$ f...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...