Absolutely continuous and modularly continuous operators defined on spaces of measurable functions

zbMath0782.47024MaRDI QIDQ1199973

Witold Wnuk, Władysław Orlicz

Publication date: 17 January 1993

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

\(F\)-latticesorder continuous operatorsconvex boundedness propertyrelations between absolutely continuous and modularly continuous operators

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) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Absolutely continuous operators on function spaces and vector measures ⋮ Compactness of Bochner representable operators on Orlicz spaces

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