On the Weakly Hypercyclic Composition Operators on Hardy Spaces

Hamid Rezaei

Abstract


An operator T on a Banach space X is said to be weakly hypercyclic if there exists a vector x ∈ X whose orbit under T is weakly dense in X. We show that every weakly hypercyclic composition operator on classic Hardy space H2 is norm hypercyclic.

Keywords


Hypercyclic operator, weak topology, com- position operator

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