scientific article; zbMATH DE number 7523738

zbMath1497.46033MaRDI QIDQ5074522

Ryszard Płuciennik, Adam Bohonos

Publication date: 9 May 2022

Full work available at URL: https://www.heldermann.de/JCA/JCA29/JCA292/jca29034.htm

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zbMATH Keywords

extreme pointsOrlicz spacesuniform \(\lambda \)-property\(\lambda \)-points\(\lambda \)-property

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) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Cites Work

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• 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
• Orlicz spaces without extreme points
• A geometric function determined by extreme points of the unit ball of a normed space
• Extreme points and strongly extreme points in Orlicz spaces equipped with the Orlicz norm
• Local approach to Kadec-Klee properties in symmetric function spaces
• Uniform \(\lambda\)-property in \(L^1\cap L^\infty\)
• Rotundity, the C.S.R.P., and the λ-Property in Banach Spaces
• Amemiya norm equals Orlicz norm in general

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