On convexity of composition and multiplication operators on weighted Hardy spaces.
Non supercyclic subsets of linear isometries on Banach spaces of analytic functions
Let be a Banach space of analytic functions on the open unit disk and a subset of linear isometries on . Sufficient conditions are given for non-supercyclicity of . In particular, we show that the semigroup of linear isometries on the spaces (), the little Bloch space, and the group of surjective linear isometries on the big Bloch space are not supercyclic. Also, we observe that the groups of all surjective linear isometries on the Hardy space or the Bergman space (, ) are not supercyclic....
Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions
In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.
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