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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Bibliographic Details
Main Author: Qingying Bu
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201005683
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