O-Convexity of Orlicz-Bochner Spaces with Orlicz Norm

Authors

  • Chenghua Zhou Department of Mathematics, Anhui Normal University, Wuhu, Anhui, 241000
  • Wanzhong Gong Department of Mathematics, Anhui Normal University, Wuhu, Anhui, 241000
  • Daoxiang Zhang Department of Mathematics, Anhui Normal University, Wuhu, Anhui, 241000

DOI:

https://doi.org/10.13447/j.1674-5647.2018.03.08

Keywords:

O-convexity, Orlicz norm, Orlicz-Bochner sequence space, Orlicz-Bochner function space

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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Published

2019-12-17

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Issue

Vol. 34 No. 3 (2018)

Section

Articles

How to Cite

O-Convexity of Orlicz-Bochner Spaces with Orlicz Norm. (2019). Communications in Mathematical Research, 34(3), 261-277. https://doi.org/10.13447/j.1674-5647.2018.03.08