International audienceWe study cyclicity of injective operators on separable Banach spaces which admit a bicyclic vector such that the norms of its images under the iterates of the operator satisfy certain growth conditions. Our results apply in particular to the shift operator acting on the weighted spaces of sequences l(omega)(2) (Z). We also prove completeness results of translates in certain Banach spaces of function
Let E be a Banach function space on a probability measure space (Omega, Sigma, mu). Let X be a Banac...
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) ...
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call se...
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 ...
AbstractLet X denote an arbitrary separable Banach space over the field of complex numbers and B(X) ...
AbstractLet X denote an arbitrary separable Banach space over the field of complex numbers and B(X) ...
We prove that every multiplier M ( bounded operator commuting with the shift operator) on a large cl...
We prove that every multiplier M ( bounded operator commuting with the shift operator) on a large cl...
In this paper we investigate the cyclicity of the multiplication operator Mz acting on the weighted...
An operator (linear and continuous) in a Fréchet space is hypercyclic if there exists a vector whose...
ABSTRACT. A sequence (Tn) of bounded linear operators between Ba-nach spaces X,Y is said to be hyper...
International audienceWe study the spectrum of multipliers (bounded operators commuting with the shi...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
Let E be a Banach function space on a probability measure space (Omega, Sigma, mu). Let X be a Banac...
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) ...
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call se...
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 ...
AbstractLet X denote an arbitrary separable Banach space over the field of complex numbers and B(X) ...
AbstractLet X denote an arbitrary separable Banach space over the field of complex numbers and B(X) ...
We prove that every multiplier M ( bounded operator commuting with the shift operator) on a large cl...
We prove that every multiplier M ( bounded operator commuting with the shift operator) on a large cl...
In this paper we investigate the cyclicity of the multiplication operator Mz acting on the weighted...
An operator (linear and continuous) in a Fréchet space is hypercyclic if there exists a vector whose...
ABSTRACT. A sequence (Tn) of bounded linear operators between Ba-nach spaces X,Y is said to be hyper...
International audienceWe study the spectrum of multipliers (bounded operators commuting with the shi...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
AbstractWe show that a continuous linear operator T on a Fréchet space satisfies the so-called Hyper...
Let E be a Banach function space on a probability measure space (Omega, Sigma, mu). Let X be a Banac...
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) ...
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call se...
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