Monotonicity Properties of Banach Lattices and Their Applications – a Survey

DOI10.1007/978-3-319-27842-1_14zbMath1411.46018OpenAlexW2521653823MaRDI QIDQ4645866

Marek Wisła, Paweł Foralewski, Wojciech Kowalewski, Henryk Hudzik

Publication date: 11 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27842-1_14

zbMATH Keywords

fixed point theoryBanach latticesrotundityOrlicz-Sobolev spacesOrlicz spacesergodic theoryOrlicz-Lorentz spacesuniform monotonicityLorentz spacesMusielak-Orlicz spacesKöthe spaceslower local uniform monotonicitystrict monotonicityupper local uniform monotonicitylocal uniform rotundityCalderón-Lozanovskiĭ spacesgeneralized Calderón-Lozanovskiĭ spacesKöthe-Bochner spacesmodulus of monotonicitycharacteristic of monotonicityuniform rotundityCesàro-Orlicz spacescomplex rotunditiesdominated best approximationmodified dominated best approximationmodulus of order smoothnessorder smoothnessspaces via sublinear operatorsuniform order smoothness

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Ordered topological linear spaces, vector lattices (46A40) Ordered normed spaces (46B40)

Related Items

Equivalent Norms in a Banach Function Space and the Subsequence Property, Uniform monotonicity of Orlicz spaces equipped with the Mazur–Orlicz F‐norm and dominated best approximation in F‐normed Köthe spaces, Unnamed Item, Monotonicity properties and solvability of dominated best approximation problem in Orlicz spaces equipped with $s$-norms, 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 \(\mathbb{R}^{2}\)

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