Multi G -cyclic Operators are G-cyclic

Zeana Z. Jamil

doi:10.24297/jam.v8i3.2574

Multi G -cyclic Operators are G-cyclic

Authors

Zeana Z. Jamil University of Baghdad College of Science

DOI:

https://doi.org/10.24297/jam.v8i3.2574

Keywords:

Hypercyclic operators, supercyclic operators.

Abstract

Paris proved in 2001 Herrero's conjectured "that every multi-hypercyclic (multi- supercyclic) operator on a Hilbert space is in fact hypercyclic (supercyclic) In this paper we study this conjectured in many cases of operators between hypercyclic operators and supercyclic operators. And we proved that multi G-cyclic operator is G-cyclic operator.

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Author Biography

Zeana Z. Jamil, University of Baghdad College of Science

Deptartment of Mathematics

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Published

2014-05-19

How to Cite

Jamil, Z. Z. (2014). Multi G -cyclic Operators are G-cyclic. JOURNAL OF ADVANCES IN MATHEMATICS, 8(3), 1632–1634. https://doi.org/10.24297/jam.v8i3.2574