Best approximation properties in spaces of measurable functions

DOI10.1002/MANA.201600485zbMath1388.41020arXiv1707.02559OpenAlexW2963281412MaRDI QIDQ4638329

Maciej Ciesielski, Grzegorz Lewicki

Publication date: 4 May 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02559

zbMATH Keywords

extreme pointsFréchet spacesLorentz spacesBanach function spacesKadec-Klee propertymetric selection\(\mu\)-compactness

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Ordered topological linear spaces, vector lattices (46A40)

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