Some properties of Banach-valued sequence spaces ℓ p [ X ]

Qingying Bu

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-12

Abstract:

We discuss some properties of the Banach-valued sequence space ℓ p [ X ] ( 1 ≤ p < ∞ ) , the space of weakly p -summable sequences on a Banach space X . For example, we characterize the reflexivity of ℓ p [ X ] , convergent sequences on ℓ p [ X ] , and compact subsets of ℓ p [ X ] .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:983073

DOI: 10.1155/S0161171201005683

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