Some properties of Banach-valued sequence spaces ℓp[X]
We discuss some properties of the Banach-valued sequence space ℓp[X](1≤p<∞), the space of weakly p-summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X].
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005683 |
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| Summary: | We discuss some properties of the Banach-valued sequence space ℓp[X](1≤p<∞), the space of weakly p-summable sequences on a Banach space X. For example, we characterize the reflexivity of ℓp[X], convergent sequences on ℓp[X], and compact subsets of ℓp[X]. |
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| ISSN: | 0161-1712 1687-0425 |