Abstract. In the present paper we investigate conditions under which a holomorphic self-map of the open unit disk induces a hypercyclic weighted composition operator in the space of holomorphic functions.

No abstract

No abstract

No abstract

In this paper, we characterize conditions under which a tuple of continuous operators is hereditarily transitive. Also, we investigate the relation between hypercyclicity and d-dense orbits of a tuple of operators.

No abstract

No abstract

Abstract. We give necessary and sufficient conditions for an operator on a separable Hilbert space to satisfy the hypercyclicity criterion.