A continuous linear operator T : X -> X is said to be hypercyclic if there exists a vector x is an element of X, called hypercyclic for T, such that {T(n)x}(n >= 0) is dense. A hypercyclic subspace for T is an infinite dimensional closed subspace H subset of X whose nonzero vectors are hypercyclic for T. Criterions for the existence of hypercyclic subspaces have been studied intensively lately in the setting of Banach and Frechet spaces. We study here conditions for the existence of complemented hypercyclic subspaces
Abstract. We provide a reasonable sufficient condition for a fam-ily of operators to have a common h...
AbstractA sequence T=(Tn) of continuous linear operators Tn:X→X is said to be hypercyclic if there e...
We completely characterize the finite dimensional subsets A of any separable Hilbert space for which...
A continuous linear operator T : X -> X is said to be hypercyclic if there exists a vector x is an e...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed ...
Abstract. If X is a topological vector space and T: X → X is a continuous linear mapping, then T is ...
A sequence T = (Tn) of operators Tn:X → X is said to be hypercyclic if there exists a vector x ω X, ...
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if O...
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if O...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
A continuous linear operator T : X -> X is called hypercyclic if there exists an x is an element of ...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
Abstract. We provide a reasonable sufficient condition for a fam-ily of operators to have a common h...
AbstractA sequence T=(Tn) of continuous linear operators Tn:X→X is said to be hypercyclic if there e...
We completely characterize the finite dimensional subsets A of any separable Hilbert space for which...
A continuous linear operator T : X -> X is said to be hypercyclic if there exists a vector x is an e...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed ...
Abstract. If X is a topological vector space and T: X → X is a continuous linear mapping, then T is ...
A sequence T = (Tn) of operators Tn:X → X is said to be hypercyclic if there exists a vector x ω X, ...
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if O...
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if O...
AbstractA continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tn...
A continuous linear operator T : X -> X is called hypercyclic if there exists an x is an element of ...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
Abstract. We provide a reasonable sufficient condition for a fam-ily of operators to have a common h...
AbstractA sequence T=(Tn) of continuous linear operators Tn:X→X is said to be hypercyclic if there e...
We completely characterize the finite dimensional subsets A of any separable Hilbert space for which...