International audienceLet $T$ be a so-called operator of Read's type on a (real or complex) separable Banach space, having no non-trivial invariant subset. We prove in this note that $T\oplus T$ is then hypercyclic, that $T$ satisfies the Hypercyclicity Criterion
Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X wh...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
AbstractBy a recent result of M. De La Rosa and C. Read, there exist hypercyclic Banach space operat...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
AbstractEvery infinite dimensional separable non-normable Fréchet space admits a continuous hypercyc...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuo...
Using Read\u27s construction of operators without nontrivial invariant subspaces/subsets on l 1 or ...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
AbstractEvery infinite dimensional separable non-normable Fréchet space admits a continuous hypercyc...
AbstractWe show that any countable family of operators of the form P(B), where P is a non-constant p...
Abstract. If X is a topological vector space and T: X → X is a continuous linear mapping, then T is ...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
AbstractBy a recent result of M. De La Rosa and C. Read, there exist hypercyclic Banach space operat...
Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X wh...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...
AbstractBy a recent result of M. De La Rosa and C. Read, there exist hypercyclic Banach space operat...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
AbstractEvery infinite dimensional separable non-normable Fréchet space admits a continuous hypercyc...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuo...
Using Read\u27s construction of operators without nontrivial invariant subspaces/subsets on l 1 or ...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
AbstractEvery infinite dimensional separable non-normable Fréchet space admits a continuous hypercyc...
AbstractWe show that any countable family of operators of the form P(B), where P is a non-constant p...
Abstract. If X is a topological vector space and T: X → X is a continuous linear mapping, then T is ...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
AbstractBy a recent result of M. De La Rosa and C. Read, there exist hypercyclic Banach space operat...
Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X wh...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties an...