
Some properties of Banach-valued sequence spacesℓ p [ X ]
Author(s) -
Qingying Bu
Publication year - 2001
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171201005683
Subject(s) - algorithm , artificial intelligence , computer science
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]