Journal of Inequalities and Applications (Aug 2020)

Strongly extreme points of Orlicz function spaces equipped with Φ-Amemiya norm

  • Lili An,
  • Yunan Cui

DOI
https://doi.org/10.1186/s13660-020-02466-x
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 13

Abstract

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Abstract In this paper, the criterion that points of Orlicz function spaces equipped with Φ-Amemiya norm generated by an Orlicz function are strongly extreme is given. As a corollary, the sufficient and necessary conditions of midpoint local uniform rotundity of Orlicz function spaces equipped with Φ-Amemiya norm are obtained.

Keywords