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Remark 2

Tag 09ON, permanent. Cite it as [Bourbaki, Tag 09ON].

Integration, IX, p. 25, § 2. Operations on measures

Similarly, if $\theta$ is a complex measure, $f$ is said to be locally $\theta$ -integrable if it is locally $|\theta|$ -integrable, and one defines the measure $f \cdot \theta : K \mapsto f_K \cdot \theta_K$ . One has $|f \cdot \theta| = |f| \cdot |\theta|$ (Ch. V, §5, No. 2, Prop. 2). In this No., we shall leave aside everything concerning non-positive measures.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

V, §5, No. 2, Prop. 2