In this paper we give some sufficient conditions for the adjoint of a combination of weighted composition operators, acting on some function spaces, satisfying the hypercyclicity criterion.
In this paper, we extend some results of Banach algebras concerning the radical and spectral properties to the fundamental locally multiplicative topological algebras (FLM algebras).
Following the recent work done in [27], we give various other conditions to ensure that the powers of the multiplication operator M z are reflexive on a Banach space X of functions analytic on a plane domain. Also, some examples of function spaces satisfying the given conditions are considered.
In the present paper we investigate conditions under which a hyperbolic self-map of the open unit disk induces a hypercyclic weighted composition operator in the space of holomorphic functions on the unit ball in C N .
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