Invertible Subspace-Hypercyclic Operators

Bahmann Yousefi


A bounded linear operator on a Banach space X is calledsubspace-hypercyclic for a subspace M if Orb(T; x) ∩ M is densein M for a vector x ∈ M. In this paper we give conditions underwhich an operator is M-hypercyclic. Then by this result, we answer in the armative a question that recently raised by Madoreand Martnez-Avendano.


hypercyclicity, subspace-hypercyclicity

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