Smooth, strongly smooth and very smooth points of Orlicz-Bochner sequence spaces endowed with the Luxemburg norm

DOI10.1016/j.jmaa.2024.128100OpenAlexW4390758535MaRDI QIDQ6192936

Unnamed Author, Zhong-Rui Shi

Publication date: 12 March 2024

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.2024.128100

zbMATH Keywords

smooth pointOrlicz-Bochner sequence spacestrongly smooth pointvery smooth point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Cites Work

• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
• Uniformly non-square points and representation of functionals of Orlicz-Bochner sequence spaces
• On the smoothness of Orlicz sequence spaces equipped with Orlicz norm
• Generalised-prox-regularity in reflexive smooth Banach spaces with smooth dual norm
• Uniform convexity in function spaces
• Nonlinear Birkhoff-James orthogonality preservers in smooth normed spaces
• Smooth, very smooth and strongly smooth points in Musielak-Orlicz sequence spaces
• Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm
• Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
• Extreme Points of the Unit Cell in Lebesgue-Bochner Function Spaces. I
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