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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |