9 citations · 18 across the 24 of their papers we have counts for
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Orbits of coanalytic Toeplitz operators and weak hypercyclicity
Stanislav Shkarin
We prove a new criterion of weak hypercyclicity of a bounded linear operator on a Banach space. Applying this criterion, we solve few open questions. Namely, we show that if is…
Non-sequential weak supercyclicity and hypercyclicity
Stanislav Shkarin
A bounded linear operator acting on a Banach space $\B$ is called weakly hypercyclic if there exists $x\in \B$ such that the orbit is weakly dense in $\B$…
On similarity of quasinilpotent operators
Stanislav Shkarin
Bounded linear operators on separable Banach spaces algebraically similar to the classical Volterra operator acting on are characterized. From this characterization it…
Compact operators without extended eigenvalues
Stanislav Shkarin
A complex number is called an extended eigenvalue of a bounded linear operator on a Banach space $\B$ if there exists a non-zero bounded linear operator acting on $\B$…
A weighted bilateral shift with cyclic square is supercyclic
Stanislav Shkarin
It is shown that for a bounded weighted bilateral shift acting on for supercyclicity of , weak supercyclicity of , cyclicity of a…
The Kitai Criterion and backward shifts
Stanislav Shkarin
It is proved that for any separable infinite dimensional Banach space , there is a bounded linear operator on such that satisfies the Kitai Criterion. The proof is b…