HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS
Keywords:
Hypercyclic operator, supercyclic operator, decomposable operator, –hyponormal operator, single valued extension property (SVEP), Dunford's property, decomposition propertyAbstract
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.
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Published
2009-03-01
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HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS. ANJS 2009, 12 (1), 143-148.