### Co-analytic, right-invertible operators are supercyclic

Sameer Chavan (2010)

Colloquium Mathematicae

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Let denote a complex, infinite-dimensional, separable Hilbert space, and for any such Hilbert space , let () denote the algebra of bounded linear operators on . We show that for any co-analytic, right-invertible T in (), αT is hypercyclic for every complex α with $\left|\alpha \right|>{\beta}^{-1}$, where $\beta \equiv in{f}_{\left|\right|x\left|\right|=1}\left|\right|T*x\left|\right|>0$. In particular, every co-analytic, right-invertible T in () is supercyclic.