HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS

Buthainah A Ahmed; Hiba F Al-Janaby

HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS

Authors

Buthainah A Ahmed Department of Mathematics, College of Science, University of Baghdad.
Hiba F Al-Janaby Department of Mathematics, College of Science, University of Baghdad.

Keywords:

Hypercyclic operator, supercyclic operator, decomposable operator, –hyponormal operator, single valued extension property (SVEP), Dunford's property, decomposition property

Abstract

In this paper,we prove that, if is the quotient of a decomposable on a separable Banach space (M–hyponormal operator on a real Hilbert space), then is hypercyclic operators. We also show that these classes of operators are supercyclic operators.