Local uniform non-squareness of Orlicz-Lorentz function spaces

DOI10.1007/s13398-019-00703-7zbMath1441.46014OpenAlexW2954876064MaRDI QIDQ2331715

Paweł Foralewski, Joanna Kończak

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00703-7

zbMATH Keywords

Lorentz spaceOrlicz-Lorentz spacelocal uniform non-squarenesslocal uniform monotonicity

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 (5)

Uniform Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Orlicz-Lorentz sequence spaces equipped with the Orlicz norm ⋮ Daugavet and diameter two properties in Orlicz-Lorentz spaces ⋮ Orlicz-Lorentz function spaces equipped with the Orlicz norm ⋮ Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm

Cites Work

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• Non-squareness properties of Orlicz-Lorentz function spaces
• Uniform convexity of generalized Lorentz spaces
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• Uniformly non-square Banach spaces
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• Uniformly non-$l_{n}^{(1)}$ Orlicz spaces with Luxemburg norm
• Comparison of Orlicz-Lorentz spaces
• Some Remarks on Orlicz‐Lorentz Spaces
• Monotonicity Properties of Lorentz Spaces
• Super-reflexive spaces with bases

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