On the lattice theory of function semi-norms

DOI10.1155/S0161171283000381zbMath0532.46012OpenAlexW2163929246MaRDI QIDQ788958

Sze-Kai Tsui, Irwin E. Schochetman

Publication date: 1983

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45280

zbMATH Keywords

triangle inequalityabsolutely continuous normDedekind completenessassociate semi-norminfinite triangle inequality, weak Fatou property, strong Fatou propertylattice structures of function semi-normsRiesz-Fisher property

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) Isomorphic theory (including renorming) of Banach spaces (46B03) Complete lattices, completions (06B23)

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