Invertible Subspace-Hypercyclic Operators

JOURNAL OF MATHEMATICAL EXTENSION（2015）

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摘要

A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) boolean AND M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic. Then by this result, we answer in the affirmative a question that recently raised by Madore and Martnez-Avendano.

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关键词

Hypercyclicity,subspace-hypercyclicity

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