Open Access
January 2017 Approximative compactness in Musielak–Orlicz function spaces of Bochner type
Shaoqiang Shang, Yunan Cui
Banach J. Math. Anal. 11(1): 143-163 (January 2017). DOI: 10.1215/17358787-3773029

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

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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

Received: 21 October 2015; Accepted: 27 February 2016; Published: January 2017
First available in Project Euclid: 30 November 2016

zbMATH: 1383.46030
MathSciNet: MR3577373
Digital Object Identifier: 10.1215/17358787-3773029

Subjects:
Primary: 46B20
Secondary: 46E30

Keywords: approximative compactness , Musielak–Orlicz–Bochner function space , Orlicz norm , Radon–Nikodym property

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 1 • January 2017
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