Non-squareness properties of Orlicz-Lorentz function spaces

DOI10.1186/1029-242X-2013-32zbMath1291.46011OpenAlexW2099396544WikidataQ59303395 ScholiaQ59303395MaRDI QIDQ389134

Paweł Foralewski, Henryk Hudzik, Pawel Kolwicz

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-32

zbMATH Keywords

Orlicz functionLorentz spacereflexivityfixed point propertyLuxemburg normuniform monotonicitystrict monotonicityuniform non-squarenessnon-squarenessOrlicz-Lorentz spacesuper-reflexivity

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) Modular spaces (46A80)

Related Items (10)

Uniformly normal structure and uniform non-squareness of Orlicz-Lorentz function spaces endowed with the Orlicz norm ⋮ Daugavet and diameter two properties in Orlicz-Lorentz spaces ⋮ Uniform nonsquareness and locally uniform nonsquareness in Orlicz-Bochner function spaces and applications ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\) ⋮ Inclusions between weighted Orlicz spaces ⋮ Some remarks on level functions and their applications ⋮ Non-square points of Orlicz-Lorentz function spaces ⋮ Local uniform non-squareness of Orlicz-Lorentz function spaces ⋮ The Daugavet property in the Musielak-Orlicz spaces

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