Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm

DOI10.1016/j.jmaa.2011.02.008zbMath1216.46015OpenAlexW2046394545MaRDI QIDQ633644

Shaoqiang Shang, Yun An Cui

Publication date: 29 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.008

zbMATH Keywords

strict convexitylocally uniform convexityMusielak-Orlicz function spaces of Bochner type

Mathematics Subject Classification ID

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

Related Items

Smoothness and approximative compactness in Orlicz function spaces ⋮ Uniform nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces and applications ⋮ Nearly strict convexity in Musielak-Orlicz-Bochner function spaces ⋮ \(P\)-convexity of Orlicz-Bochner function spaces endowed with the Orlicz norm ⋮ Approximative compactness and Asplund property in Banach function spaces and in Orlicz-Bochner spaces in particular with application

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• Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
• Geometric properties of Köthe–Bochner spaces
• Relationships between monotonicity and complex rotundity properties with some consequences

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