Completeness of \(L^ p\) spaces with respect to finitely additive measures

DOI10.1007/BF01760983zbMath0553.28005MaRDI QIDQ802027

Gabriele H. Greco

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

integrationfinitely additive measure\(L^ p\) spacesmeasurability for a numerical function, with respect to an algebra of sets

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) Contents, measures, outer measures, capacities (28A12) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Measures on Boolean rings, measure algebras (28A60)

Related Items (3)

Properties of functions on a bounded charge space ⋮ Completeness of \({\mathcal L}^ p\) spaces and Radon-Nikodym theorems for unbounded finitely additive measures ⋮ Completeness of \(L_p\)-spaces in the finitely additive setting and related stories

Cites Work

• Integrale monotono
• Sur la mesurabilité d'une fonction numérique par rapport à une famille d'ensembles
• Theory of capacities
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