AbstractWe show that a linear operator can have an orbit that comes within a bounded distance of every point, yet is not dense. We also prove that such an operator must be hypercyclic. This gives a more general form of the hypercyclicity criterion. We also show that a sufficiently small perturbation of a hypercyclic vector is still hypercyclic
Summary: On a separable, infinite dimensional Banach space $X$, a bounded linear operator $T:X \righ...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
Abstract. We show that a linear operator can have an orbit that comes within a bounded distance of e...
AbstractWe show that a linear operator can have an orbit that comes within a bounded distance of eve...
On a separable, infinite dimensional Banach space X, a bounded linear operator T : X → X is said to ...
On a separable, infinite dimensional Banach space X, a bounded linear operator T : X → X is said to ...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
ABSTRACT. A sequence (Tn) of bounded linear operators between Ba-nach spaces X,Y is said to be hyper...
A continuous linear operator T : X -> X is called hypercyclic if there exists an x is an element of ...
If X is a topological vector space and T : X → X is a continuous linear operator, then T is said to ...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
Let X be a Banach space and let T be a continuous linear operator on X. A vector x ∈ X is weakly hyp...
Summary: On a separable, infinite dimensional Banach space $X$, a bounded linear operator $T:X \righ...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
Abstract. We show that a linear operator can have an orbit that comes within a bounded distance of e...
AbstractWe show that a linear operator can have an orbit that comes within a bounded distance of eve...
On a separable, infinite dimensional Banach space X, a bounded linear operator T : X → X is said to ...
On a separable, infinite dimensional Banach space X, a bounded linear operator T : X → X is said to ...
AbstractA continuous linear operator T:X→X on a topological vector space X is called hypercyclic if ...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
ABSTRACT. A sequence (Tn) of bounded linear operators between Ba-nach spaces X,Y is said to be hyper...
A continuous linear operator T : X -> X is called hypercyclic if there exists an x is an element of ...
If X is a topological vector space and T : X → X is a continuous linear operator, then T is said to ...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
Let X be a Banach space and let T be a continuous linear operator on X. A vector x ∈ X is weakly hyp...
Summary: On a separable, infinite dimensional Banach space $X$, a bounded linear operator $T:X \righ...
Hypercyclicity, strictly speaking, dates back to 1929 when the first example in the literature appea...
AbstractA bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if the...
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