Midpoint locally uniform rotundity of Musielak-Orlicz-Bochner function spaces endowed with the luxemburg norm

摘要

Criteria for midpoint locally uniform rotundity of Musielak-Orlicz-Bochner function spaces equipped with the Luxemburg norm are given. We also prove that, in Musielak-Orlicz-Bochner function spaces generated by midpoint locally uniformly rotund Banach space, midpoint locally uniform rotundity and rotundity are equivalent. The topic of this paper is related to the topic of [1-6] and [9-16].