On the Epsilon Hypercyclicity of a Pair of Operators

Authors

  • Bahmann Yousefi
  • Khadije Jahedi

DOI:

https://doi.org/10.30495/jme.v0i0.89

Keywords:

hypercyclic vector, -hypercyclicity, transitive operator.

Abstract

In this paper we prove that if a pair of operators is - hypercyclic for all > 0, then it is topologically transitive.

Author Biographies

Bahmann Yousefi

Department of Mathematics Professor of Mathematics Payame Noor University P.O. Box 19395-3697 Tehran, Iran

Khadije Jahedi

Department of Mathematics Assistant Professor of Mathematics Islamic Azad University-Shiraz Branch Shiraz, Iran

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Published

2011-05-02

Issue

Section

Vol. 5, No. 2(2), (2011)