Abstract We study the cyclic, supercyclic and hypercyclic properties of a composition operator C ϕ on Segal-Bargmann space ℋ(ℰ), where ( z ) = Az + b , A is bounded linear ℰ, ∈ ℰ with || ⩽ 1 * belongs to range I – )½. Specifically, under some conditions symbol we show that if cyclic then A* but converse need not be true. also cyclic. Further there no ℋ(ℰ) for certain class symbols .

This paper establishes decomposability for composition operators induced on the Hardy spaces H (1 ≤ p < ∞) by parabolic linear fractional self-maps of the unit disc that are not automorphisms. This result, along with a recent theorem of Miller and Miller [15], shows that no such composition operator is supercyclic. The work here completes part of a previous investigation [1] where the author an...

Let X be a complex topological vector space and L(X) the set of all continuous linear operators on X. An operator T ? is supercyclic if there x such that, COrb(T,x) = {?Tnx : C, n 0}, dense in In this paper, we extend notion from single to subset L(X). We prove that most related proprieties supercyclicity case remains true for ?. This leads us obtain some results C-regularized groups operators.

In this paper, we study the so-called Bishop operators Tα on Lp([0,1]), with α∈(0,1) and 1<p<+∞, from point of view linear dynamics. We show that they are never hypercyclic nor supercyclic, investigate extensions these results to case weighted translation operators. then cyclicity Tα. Building by Chalendar Partington in where α is rational, cyclic for a dense Gδ-set irrational α's, discuss func...

Abstract We study the cyclic structures of weighted composition operators and their adjoints on Fock space $${\mathcal {F}}_2$$ F 2 . A complete characterization cyclicity which depends derivative symbol for operator non-vanishing structure weight function is provided. ...

Abstract We study various structures of general Volterra-type integral and weighted composition operators acting between two Fock-type spaces $$\mathcal {F}_{\varphi }^p$$ F φ p }^q,$$ q , w...

We give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(C_{omega_1,varphi_1}^*‎ , ‎C_{omega_2,varphi_2}^*)$ on the Hilbert space $mathcal{H}$ of analytic functions is supercyclic‎.

we give some sufficient conditions under which the tuple of the adjoint of weighted composition operators $(c_{omega_1,varphi_1}^*‎ , ‎c_{omega_2,varphi_2}^*)$ on the hilbert space $mathcal{h}$ of analytic functions is supercyclic‎.