Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators Buthainah A. Ahmed | Hiba F. Al-Janaby

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Baghdad Science Journal

Abstract

Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results.

If is a operator, then
1. is a hypercyclic operator if and only if D and for every hyperinvariant subspace of .

2. If is a pure, then is a countably hypercyclic operator if and only if and for every hyperinvariant subspace of .

3. has a bounded set with dense orbit if and only if for every hyperinvariant subspace of , .

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How to Cite
1.
Journal BS. Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators: Buthainah A. Ahmed | Hiba F. Al-Janaby. Baghdad Sci.J [Internet]. 2010Mar.7 [cited 2020Nov.28];7(1):191-9. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2887
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