Moduli and characteristics of monotonicity in general Banach lattices and in Orlicz spaces in particular

DOI10.1016/j.na.2008.05.008zbMath1173.46004OpenAlexW2048159909MaRDI QIDQ1009659

Radosław Kaczmarek, Henryk Hudzik

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.05.008

zbMATH Keywords

Orlicz spacesLuxemburg normuniform monotonicitystrict monotonicitymodulus of monotonicitycharacteristic of monotonicitymodulus of order convexity

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

Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Monotonicity Properties of Banach Lattices and Their Applications – a Survey ⋮ Monotonicity characteristic of Köthe-Bochner spaces ⋮ Moduli and characteristics of monotonicity in some Banach lattices ⋮ 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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• Monotonicity and complex convexity in Banach lattices
• Orlicz spaces and modular spaces
• Lower and upper estimations of the modulus of convexity in some Orlicz spaces
• Some basic properties of generalized Calderón-Lozanovskiĭ spaces
• Banach lattices
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• Geometric properties of symmetric spaces with applications to Orlicz-Lorentz spaces
• Monotonicity properties of Musielak-Orlicz spaces and dominated best approximation in Banach lattices
• Banach lattices with order isometric copies of \(l^\infty\)
• Monotone coefficients and monotonicity of Orlicz spaces
• A dual property to uniform monotonicity in Banach lattices
• Criteria for monotonicity properties of Musielak-Orlicz spaces equipped with the Amemiya norm
• Points of monotonicity in Musielak--Orlicz function spaces endowed with the Luxemburg norm
• On the geometry of some Calderón-Lozanovskij interpolation spaces
• Banach lattices which are order uniformly noncreasy
• Applications de dualité dans les espaces de Köthe
• On Complex Strict and Uniform Convexity
• Coefficient of orthogonal convexity of some Banach function spaces
• Monotonicity Properties of Lorentz Spaces
• On some classes of functions with regard to their orders of growth
• On a generalization of regularly increasing functions
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• On subspaces of Orlicz sequences spaces
• Relationships between monotonicity and complex rotundity properties with some consequences
• Monotonicity and rotundity properties in Banach lattices
• On property \((\beta)\) in Banach lattices, Calderón-Lozanowskiĭ and Orlicz-Lorentz spaces