TY - JOUR
A2 - Ezzinbi, Khalil
AU - Shang, Shaoqiang
AU - Cui, Yunan
PY - 2013
DA - 2013/12/08
TI - Ball-Covering Property in Uniformly Non- Banach Spaces and Application
SP - 873943
VL - 2013
AB - This paper shows the following. (1) X is a uniformly non-l3(1) space if and only if there exist two constants α,β>0 such that, for every 3-dimensional subspace Y of X, there exists a ball-covering 𝔅 of Y with c(𝔅)=4 or 5 which is α-off the origin and r(𝔅)≤β. (2) If a separable space X has the Radon-Nikodym property, then X* has the ball-covering property. Using this general result, we find sufficient conditions in order that an Orlicz function space has the ball-covering property.
SN - 1085-3375
UR - https://doi.org/10.1155/2013/873943
DO - 10.1155/2013/873943
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -