In some symmetric spaces monotonicity properties can be reduced to the cone of rearrangements

DOI10.1007/s00010-015-0379-6zbMath1350.46019OpenAlexW2249504344MaRDI QIDQ264182

Henryk Hudzik, Miroslav Krbec, Radosław Kaczmarek

Publication date: 6 April 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-015-0379-6

zbMATH Keywords

symmetric spacesorder continuityOrlicz-Lorentz spacesK-monotone symmetric Banach spacesKöthe spaceslower local uniform monotonicitystrict monotonicityupper local 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)

Cites Work

• Orlicz spaces and modular spaces
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
• Strongly extreme points in Köthe-Bochner spaces
• Some fundamental geometric and topological properties of generalized Orlicz-Lorentz function spaces
• On Geometric Properties of Orlicz-Lorentz Spaces
• Some Remarks on Orlicz‐Lorentz Spaces
• Monotonicity Properties of Lorentz Spaces
• Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions
• Monotonicity and rotundity properties in Banach lattices
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