In this short note, we prove that for a dense set A⊂ X (X is a Banach space) there is a non-
trivial closed subspace M⊂ X such that A∩ M is dense in M. We use this result to answer a …

In this paper, we introduce and study the diskcyclicity and disk transitivity of a set of
operators. We establish a diskcyclicity criterion and give the relationship between this …

In this paper, we prove that if T is a diskcyclic operator then the closed unit disk multiplied by
the union of the numerical range of all iterations of T is dense in H. Also, if T is a diskcyclic …

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 …

In this paper, we characterize disk-cyclic and codisk-cyclic weighted pseudo-shifts on
Banach sequence spaces, and consider the bilateral operator weighted shifts on $\ell^ 2 …

In this paper, we show that if the direct sum of two operators is subspace-hypercyclic
(satisfies subspace hypercyclic criterion), then both operators are subspace-hypercyclic …

In this article, we prove that diskcyclic C₀-semigroups exist on any infinite-dimensional
Banach space. We show that a C₀-semigroup (T_t) _ {t≥ 0} satisfies the diskcyclicity …

Research Article Non-Diskcyclicity of Bounded Composition Operators on the Little Bloch Space
and the Besov Space Page 1 Research Article Non-Diskcyclicity of Bounded Composition …

In this paper, we study new classes of operators on separable Banach spaces which are
called extended-cyclic operators and extended-transitive operators. We study some …