Year: 2018
Author: Chenghua Zhou, Wanzhong Gong, Daoxiang Zhang
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 261–277
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.03.08
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 261–277
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: O-convexity Orlicz norm Orlicz-Bochner sequence space Orlicz-Bochner function space