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- W770530677 abstract "3.1 Given a Daniell measure µ, the upper integral of a positive function with respect to Vµ is defined. A positive function is said to be µ-negligible if its upper integral is null. This allows us to define negligible sets and the notion of property true “almost everywhere”. We then prove a few important results such as Beppo Levi’s theorem (Theorem 3.1.1), Fatou’s lemma (Proposition 3.1.2), and the Riesz-Fischer theorem (Theorem 3.1.3) on the completeness of ℒ1 (µ)." @default.
- W770530677 created "2016-06-24" @default.
- W770530677 creator A5010734848 @default.
- W770530677 date "1996-01-01" @default.
- W770530677 modified "2023-09-23" @default.
- W770530677 title "Integrable and Measurable Functions" @default.
- W770530677 doi "https://doi.org/10.1007/978-1-4612-4012-9_3" @default.
- W770530677 hasPublicationYear "1996" @default.
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