Three results in linear dynamics
Abstract
In this article, first we show that the Fr\'echet space H( D) cannot support strongly supercyclic weighted composition operators. Then we compute the constant ε for weighted backward shifts on p (1 p<∞) and c0. This constant is used to find strongly hypercyclic scalar multiples of non-invertible strongly supercyclic Banach space operators. Finally, we give an affirmative answer to a recent open question concerning supercyclic vectors.
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