Bourbaki

Proposition 11

Tag 08PL, permanent. Cite it as [Bourbaki, Tag 08PL].

Integration, chapter IV, § 1. Upper integral of a positive function

— *For every finite real number α>0\alpha > 0 and every numerical function f⩾0f \geqslant 0 defined on X,

μ∗(αf)=αμ∗(f). \mu^*(\alpha f) = \alpha \mu^*(f).

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

Cited by

Cites

Nothing.

Transcribed from the printed volume. Not translated.