Queen's University Belfast

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20022015

most citedRadiation Pressure Dominate Regime of Relativistic Ion Acceleration

1k citations

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11 papers · 1 filter

math.FA2012

A weighted bilateral shift with cyclic square is supercyclic

Stanislav Shkarin

It is shown that for a bounded weighted bilateral shift $T$ acting on $ℓ_{p} (Z)$ for $1 \leq p \leq 2$ supercyclicity of $T$ , weak supercyclicity of $T$ , cyclicity of $T \oplus T$ a…

math.FA2012

The Kitai Criterion and backward shifts

Stanislav Shkarin

It is proved that for any separable infinite dimensional Banach space $X$ , there is a bounded linear operator $T$ on $X$ such that $T$ satisfies the Kitai Criterion. The proof is b…

math.FA2012

Universal elements for non-linear operators and their applications

Stanislav Shkarin

We prove that under certain topological conditions on the set of universal elements of a continuous map $T$ acting on a topological space $X$ , that the direct sum $T \oplus M_{g}$ is…

math.FA2012

On the spectrum of frequently hypercyclic operators

Stanislav Shkarin

A bounded linear operator $T$ on a Banach space $X$ is called frequently hypercyclic if there exists $x \in X$ such that the lower density of the set ${n \in N : T^{n} x \in U}$ is posit…

math.FA2012

Norm attaining operators and pseudospectrum

Stanislav Shkarin

It is shown that if $1 < p < \infty$ and $X$ is a subspace or a quotient of an $ℓ_{p}$ -direct sum of finite dimensional Banach spaces, then for any compact operator $T$ on $X$ such th…

math.FA2012

On supercyclicity of operators from a supercyclic semigroup

Stanislav Shkarin

We show that for every supercyclic strongly continuous operator semigroup $T_{t}_{t \geq 0}$ acting on a complex $\F$-space, every $T_{t}$ with $t > 0$ is supercyclic. Moreover, the set…