Invertible Subspace-Hypercyclic Operators

Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ 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.

Language:
English
Published:
Journal of Mathematical Extension, Volume:9 Issue: 2, Spring 2015
Pages:
89 to 94
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