Characterizations of vector-valued weakly almost periodic functions
We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203111325 |
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| _version_ | 1850161015259398144 |
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| author | Chuanyi Zhang |
| author_facet | Chuanyi Zhang |
| author_sort | Chuanyi Zhang |
| collection | DOAJ |
| description | We characterize the weak almost periodicity of a vector-valued,
bounded, continuous function. We show that if the range of the
function is relatively weakly compact, then the relative weak
compactness of its right orbit is equivalent to that of its left
orbit. At the same time, we give the function some other
equivalent properties. |
| format | Article |
| id | doaj-art-f68bf69746ef4d4fbce2b733055460cb |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f68bf69746ef4d4fbce2b733055460cb2025-08-20T02:22:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003529530410.1155/S0161171203111325Characterizations of vector-valued weakly almost periodic functionsChuanyi Zhang0Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left orbit. At the same time, we give the function some other equivalent properties.http://dx.doi.org/10.1155/S0161171203111325 |
| spellingShingle | Chuanyi Zhang Characterizations of vector-valued weakly almost periodic functions International Journal of Mathematics and Mathematical Sciences |
| title | Characterizations of vector-valued weakly almost periodic functions |
| title_full | Characterizations of vector-valued weakly almost periodic functions |
| title_fullStr | Characterizations of vector-valued weakly almost periodic functions |
| title_full_unstemmed | Characterizations of vector-valued weakly almost periodic functions |
| title_short | Characterizations of vector-valued weakly almost periodic functions |
| title_sort | characterizations of vector valued weakly almost periodic functions |
| url | http://dx.doi.org/10.1155/S0161171203111325 |
| work_keys_str_mv | AT chuanyizhang characterizationsofvectorvaluedweaklyalmostperiodicfunctions |