Abstract

The criteria for midpoint locally uniform rotundity in the classical Orlicz function spaces have been given already. However, because of the complicated structure of Musielak-Orlicz-Bochner function spaces, up to now the criteria for midpoint locally uniform rotundity have not been discussed yet. In this paper, criteria for midpoint locally uniform rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given.

Author information

Contact details are reproduced from the original publication and may be historical.

Shaoqiang Shang

Dept. of Mathematics, Northeast Forestry University, Harbin 150040, P. R. China

sqshang@163.com

Yunan Cui

Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P. R. China

cuiya@hrbust.edu.cn

Keywords

  • Strongly extreme point
  • midpoint locally uniformly rotund
  • Musielak-Orlicz-Bochner function spaces
  • Orlicz norm

Mathematics Subject Classification

46E30, 46B20

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Suggested citation

S. Shang, Y. Cui, Y. Fu. “Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Orlicz Norm.” Journal of Convex Analysis 21 (2014), No. 2, 477–494. https://doi.org/10.68381/jca21025

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Published by Heldermann Verlag, 2014. Rights now held by Banach Press LLC.