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Paper Information

Journal:   BANACH JOURNAL OF MATHEMATICAL ANALYSIS   2017 , Volume 11 , Number 1; Page(s) 143 To 163.
 
Paper: 

APPROXIMATIVE COMPACTNESS IN MUSIELAK–ORLICZ FUNCTION SPACES OF BOCHNER TYPE

 
 
Author(s):  SHANG SHAOQIANG*, CUI YUNAN
 
* 
 
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.

 
Keyword(s): APPROXIMATIVE COMPACTNESS, RADON–NIKODYM PROPERTY, MUSIELAK–ORLICZ–BOCHNER FUNCTION SPACE, ORLICZ NORM
 
References: 
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