Smoothness of Orlicz function spaces equipped with the \(p\)-Amemiya norm

DOI10.1007/s43037-021-00133-xzbMath1478.46026OpenAlexW3161902406MaRDI QIDQ2029183

Marek Wisła, Xiao-Yan Li, Yun An Cui

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1007/s43037-021-00133-x

zbMATH Keywords

Orlicz spacesmooth pointsupporting functional\(p\)-Amemiya norm

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) Banach lattices (46B42) Banach sequence spaces (46B45) Modular spaces (46A80)

Related Items (2)

Exposed points of Orlicz function spaces equipped with \(p\)-Amemiya norms ⋮ Exposed points of Orlicz sequence spaces equipped with \(p\)-Amemiya \((1\leq p\leq \infty)\) norms

Cites Work

• Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
• 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
• 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
• Complex extreme points and complex rotundity in Orlicz function spaces equipped with the \(p\)-Amemiya norm
• Some fundamental properties for duals of Orlicz spaces
• Strongly extreme points in Orlicz spaces equipped with the \(p\)-Amemiya norm
• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
• On the smoothness of Orlicz sequence spaces equipped with Orlicz norm
• Orlicz spaces equipped with \(s\)-norms
• Geometric properties of Orlicz spaces equipped with \(p\)-Amemiya norms − results and open questions
• Some remarks on the spaces N(L) and N(l)
• Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm
• Uniform rotundity of Orlicz function spaces equipped with the ‐Amemiya norm
• Smoothness of the Orlicz norm in Musielak–Orlicz function spaces
• Amemiya norm equals Orlicz norm in general
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