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.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| _version_ | 1818752364663799808 |
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| author | H. Rezaei |
| author_facet | H. Rezaei |
| author_sort | H. Rezaei |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T04:50:18Z |
| format | Article |
| id | doaj.art-98d9d8fca5ae4a3e9061a102eaafc927 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-18T04:50:18Z |
| publishDate | 2010-06-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-98d9d8fca5ae4a3e9061a102eaafc9272022-12-21T21:20:26ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992010-06-01424549On the Weakly Hypercyclic Composition Operators on Hardy SpacesH. Rezaei0Yasouj UniversityAn 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.http://ijmex.com/index.php/ijmex/article/view/68 |
| spellingShingle | H. Rezaei On the Weakly Hypercyclic Composition Operators on Hardy Spaces Journal of Mathematical Extension |
| title | On the Weakly Hypercyclic Composition Operators on Hardy Spaces |
| title_full | On the Weakly Hypercyclic Composition Operators on Hardy Spaces |
| title_fullStr | On the Weakly Hypercyclic Composition Operators on Hardy Spaces |
| title_full_unstemmed | On the Weakly Hypercyclic Composition Operators on Hardy Spaces |
| title_short | On the Weakly Hypercyclic Composition Operators on Hardy Spaces |
| title_sort | on the weakly hypercyclic composition operators on hardy spaces |
| url | http://ijmex.com/index.php/ijmex/article/view/68 |
| work_keys_str_mv | AT hrezaei ontheweaklyhypercycliccompositionoperatorsonhardyspaces |