Exposed points of Orlicz function spaces equipped with \(p\)-Amemiya norms

DOI10.1007/s13226-022-00332-8MaRDI QIDQ6089328

Yun An Cui, Xiao-Yan Li

Publication date: 14 December 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Orlicz spacesupporting functional\(p\)-Amemiya normexposed point

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20)

Cites Work

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• The fixed point property of Orlicz sequence spaces equipped with the \(p\)-Amemiya norm
• Non-squareness properties of Orlicz spaces equipped with the \(p\)-Amemiya norm
• Monotonicity properties and dominated best approximation problems in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Orlicz spaces and modular spaces
• Exposed points and strongly exposed points in Musielak-Orlicz sequence spaces
• Basic theory of \(p\)-Amemiya norm in Orlicz spaces (\(1\leq p\leq \infty\)): Extreme points and rotundity in Orlicz spaces endowed with these norms
• Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Smoothness of Orlicz function spaces equipped with the \(p\)-Amemiya norm
• Orlicz spaces equipped with \(s\)-norms
• Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions
• Extreme and Exposed Points in Orlicz Spaces
• On Some Convexity Properties of Orlicz Sequence Spaces Equipped with the Luxemburg Norm
• History of Banach Spaces and Linear Operators
• Amemiya norm equals Orlicz norm in general

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