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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 5, Pages 289-300
doi:10.1155/S0161171201005683

Some properties of Banach-valued sequence spaces ℓp[X]

Qingying Bu

Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA

Abstract

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].