HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS

  • 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.

 

Published
2009-03-01
How to Cite
Ahmed, B. A., & Al-Janaby, H. F. (2009). HYPERCYCLICITY AND SUPERCYCLICITYFOR SOME CLASSES OF OPERATORS. Al-Nahrain Journal of Science, 12(1), 143-148. Retrieved from https://anjs.edu.iq/index.php/anjs/article/view/1277
Section
Articles