Abstract
In this article, we give the criteria for approximative compactness of every proximinal convex subset of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm. As a corollary, we give the criteria for approximative compactness of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm.
Citation
Shaoqiang Shang. Yunan Cui. "Approximative compactness in Musielak–Orlicz function spaces of Bochner type." Banach J. Math. Anal. 11 (1) 143 - 163, January 2017. https://doi.org/10.1215/17358787-3773029
Information