Nearly strict convexity in Musielak-Orlicz-Bochner function spaces

DOI10.1016/j.na.2011.06.013zbMath1238.46012OpenAlexW2021760980MaRDI QIDQ640160

Shaoqiang Shang, Yongqiang Fu, Yun An Cui

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.06.013

zbMATH Keywords

strictly convex spaceMusielak-Orlicz-Bochner function spacenearly strictly convex space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20)

Cites Work

• Nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces endowed with Luxemburg norm
• Nonsquareness in Musielak-Orlicz-Bochner function spaces
• Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm
• Orlicz spaces and modular spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• Strongly extreme points in Köthe-Bochner spaces
• Extreme points and rotundity in Musielak-Orlicz-Bochner function spaces endowed with Orlicz norm
• The criteria for local uniform rotundity of Orlicz spaces
• Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
• 𝑃-convexity of Orlicz-Bochner spaces
• Geometric properties of Köthe–Bochner spaces
• Relationships between monotonicity and complex rotundity properties with some consequences
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