Residuality of Sets of Hypercyclic Operators |
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| Authors: | Alejandro Rodríguez-Martínez |
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| Institution: | 1. Khalifa University of Science, Technology & Research, P.O. Box 127788, Abu Dhabi, UAE
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| Abstract: | We prove a criterion that guarantees that in a given class of operators the set of hypercyclic ones is residual. We also prove
the existence of quasinilpotent Volterra composition operators, Vj{V_\varphi} , such that both Vj{V_\varphi} and Vj*{V_\varphi^\star} are supercyclic and both I + Vj{I + V_\varphi} and I + Vj*{I + V_\varphi^\star} are hypercyclic. |
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