Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm

DOI10.1016/j.jmaa.2004.07.026zbMath1071.46018OpenAlexW2057291133MaRDI QIDQ1770979

Xianqiang Yang

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.026

zbMATH Keywords

monotonicityAmemiya normMusielak-Orlicz spaces

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)

Related Items (10)

Monotonicities in Orlicz spaces equipped with Mazur-Orlicz \(F\)-norm ⋮ Points of monotonicity in \(F\)-normed Orlicz function spaces ⋮ Geometric properties of \(F\)-normed Orlicz 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 ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ Points of monotonicity in Orlicz-Lorentz function spaces ⋮ Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm ⋮ Local monotonicity coefficients in Orlicz sequence spaces equipped with the \(p\)-Amemiya norm ⋮ Geometry of Orlicz spaces equipped with norms generated by some lattice norms in \(\mathbb{R}^{2}\)

Cites Work

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• Orlicz spaces and modular spaces
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
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• On the distance from the subspace of order continuous elements in \(L^1+L^\infty\)
• Strictly and uniformly monotone sequential Musielak-Orlicz spaces
• Applications de dualité dans les espaces de Köthe
• Monotonicity and rotundity properties in Banach lattices
• Amemiya norm equals Orlicz norm in general

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