TY - JOUR
T1 - O-Convexity of Orlicz-Bochner Spaces with Orlicz Norm
AU - Zhou , Chenghua
AU - Gong , Wanzhong
AU - Zhang , Daoxiang
JO - Communications in Mathematical Research 
VL - 3
SP - 261
EP - 277
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.03.08
UR - https://global-sci.org/intro/article_detail/cmr/13493.html
KW - O-convexity, Orlicz norm, Orlicz-Bochner sequence space, Orlicz-Bochner
function space
AB - <p style="text-align: justify;">In this paper we give some characterizations of O-convexity of Banach
spaces, and show the criteria for O-convexity in Orlicz-Bochner function space $L_M(\mu,\,X)$ and Orlicz-Bochner sequence space $l_M(X_s)$ endowed with Orlicz norm.
Moreover, we give a sufficient condition for the dual of such a space to have the fixed
point property.</p>