Chaos for Cosine Operator Functions on Groups
Let 1≤p<∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simult...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/603234 |
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| _version_ | 1832553493798322176 |
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| author | Chung-Chuan Chen |
| author_facet | Chung-Chuan Chen |
| author_sort | Chung-Chuan Chen |
| collection | DOAJ |
| description | Let 1≤p<∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously. We also give a necessary and sufficient condition for the direct sum of a sequence of cosine operator functions to be chaotic. |
| format | Article |
| id | doaj-art-b97d6bfd8cb34a7f9ce6402c2a0bda6f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b97d6bfd8cb34a7f9ce6402c2a0bda6f2025-02-03T05:53:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/603234603234Chaos for Cosine Operator Functions on GroupsChung-Chuan Chen0Department of Mathematics Education, National Taichung University of Education, Taichung 403, TaiwanLet 1≤p<∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously. We also give a necessary and sufficient condition for the direct sum of a sequence of cosine operator functions to be chaotic.http://dx.doi.org/10.1155/2014/603234 |
| spellingShingle | Chung-Chuan Chen Chaos for Cosine Operator Functions on Groups Abstract and Applied Analysis |
| title | Chaos for Cosine Operator Functions on Groups |
| title_full | Chaos for Cosine Operator Functions on Groups |
| title_fullStr | Chaos for Cosine Operator Functions on Groups |
| title_full_unstemmed | Chaos for Cosine Operator Functions on Groups |
| title_short | Chaos for Cosine Operator Functions on Groups |
| title_sort | chaos for cosine operator functions on groups |
| url | http://dx.doi.org/10.1155/2014/603234 |
| work_keys_str_mv | AT chungchuanchen chaosforcosineoperatorfunctionsongroups |