In this note, it is proved that if X is a separable infinite dimensional Fréchet space that admits
a continuous norm then, given a closed infinite dimensional subspace of X, there exists a …

In this article, first we show that the Fr\'echet space $ H (\Bbb D) $ cannot support strongly
supercyclic weighted composition operators. Then we compute the constant $\epsilon $ for …

In this article, subspace-recurrent operators are presented and it is showed that the set of
subspace-transitive operators is a strict subset of the set of subspace-recurrent operators …

This paper is a continuation of our recent work on super-recurrence of operators [3]. We
introduce and study subspace-super recurrence of operators. We give the relationship …

In this paper, we prove the existance of subspace-diskcyclic C< sub> 0-semigroups on any
infinite-dimensional separable Banach space. We state that diskcyclic C< sub> 0 …

In this paper, we define and study subspace-diskcyclic operators. We show that subspace-
diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and …

We give an affirmative answer to a question asked by Faghih-Ahmadi and Hedayatian
regarding supercyclic vectors. We show that if $\mathcal X $ is an infinite-dimensional …

We apply the well-known and also the newly introduced notions from bounded linear
dynamics to unbounded linear operators. We present a hypermixing criterion similar to that …

In this paper, we prove that supercyclic operators are subspace-supercyclic and by this we
give a positive answer to a question posed in (L. Zhang, ZH Zhou, Notes about subspace …

This paper investigates the dynamics of bilateral operator-weighted shifts on L 2 (𝒦, ℤ) with
a weight sequence of positive diagonal operators on a Hilbert space 𝒦. Necessary and …