On the Weakly Hypercyclic Composition Operators on Hardy Spaces
An operator T on a Banach space X is said to be weakly hypercyclic if there exists a vector x ∈ X whose orbit under T is weakly dense in X. We show that every weakly hypercyclic composition operator on classic Hardy space H2 is norm hypercyclic.
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| Format: | Article |
| Language: | English |
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Islamic Azad University
2010-06-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/68 |