scientific article

zbMath1367.46004MaRDI QIDQ3181219

Radosław Kaczmarek, Marek Wójtowicz, Henryk Hudzik

Publication date: 23 December 2016

Full work available at URL: http://www.yokohamapublishers.jp/online2/opjnca/vol17/p1985.html

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zbMATH Keywords

uniform monotonicitystrict monotonicityRiesz spacesMazur-Orlicz \(F\)-normorthogonal lower local uniform monotonicityorthogonal uniform monotonicityorthogonal upper local uniform monotonicity\(s\)-convex Orlicz spaces\(s\)-convex Orlicz function\(s\)-normed lattices, \(s\)-concavification of normed Köthe 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) Ordered topological linear spaces, vector lattices (46A40) Modular spaces (46A80)

Related Items (7)

A class of a non-Banach \(F\)-lattices \(E\) such that every orthomorphism on \(E\) is central with applications to Musielak-Orlicz sequence spaces ⋮ Orthomorphisms on non-Banach \(F\)-lattices containing a copy of \(\mathbb{R}^{\mathbb{N}}\) with applications to Musielak-Orlicz spaces ⋮ Uniform monotonicity of Orlicz spaces equipped with the Mazur–Orlicz F‐norm and dominated best approximation in F‐normed Köthe spaces ⋮ Some monotonicity properties in $F$-normed Musielak-Orlicz spaces ⋮ Geometric properties of \(F\)-normed Orlicz spaces ⋮ Uniformly nonsquare in Orlicz space equipped with the Mazur-Orlicz \(F\)-norm ⋮ The monotonicity of Orlicz–Lorentz spaces equipped with the F-norm

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