HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS
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.
Keywords
Hypercyclic operator, supercyclic operator, decomposable operator, –hyponormal operator, single valued extension property, SVEP, Dunford's property, decomposition property .Metrics