Non-Weakly Supercyclic Weighted Composition Operators
We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/143808 |
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| _version_ | 1849402464739000320 |
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| author | Z. Kamali K. Hedayatian B. Khani Robati |
| author_facet | Z. Kamali K. Hedayatian B. Khani Robati |
| author_sort | Z. Kamali |
| collection | DOAJ |
| description | We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc. |
| format | Article |
| id | doaj-art-82b6fa64c8ac4998a7c798ba6f17e4a1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-82b6fa64c8ac4998a7c798ba6f17e4a12025-08-20T03:37:31ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/143808143808Non-Weakly Supercyclic Weighted Composition OperatorsZ. Kamali0K. Hedayatian1B. Khani Robati2Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranDepartment of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, IranWe give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc.http://dx.doi.org/10.1155/2010/143808 |
| spellingShingle | Z. Kamali K. Hedayatian B. Khani Robati Non-Weakly Supercyclic Weighted Composition Operators Abstract and Applied Analysis |
| title | Non-Weakly Supercyclic Weighted Composition Operators |
| title_full | Non-Weakly Supercyclic Weighted Composition Operators |
| title_fullStr | Non-Weakly Supercyclic Weighted Composition Operators |
| title_full_unstemmed | Non-Weakly Supercyclic Weighted Composition Operators |
| title_short | Non-Weakly Supercyclic Weighted Composition Operators |
| title_sort | non weakly supercyclic weighted composition operators |
| url | http://dx.doi.org/10.1155/2010/143808 |
| work_keys_str_mv | AT zkamali nonweaklysupercyclicweightedcompositionoperators AT khedayatian nonweaklysupercyclicweightedcompositionoperators AT bkhanirobati nonweaklysupercyclicweightedcompositionoperators |