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]
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA
Received 7 August 2000
Copyright © 2001 Qingying Bu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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].