Corollary 2

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

— For every real measure $\mu$ on $X$ ,

\| \mu \| = \| \mu^+ \| + \| \mu^- \|.

For (Cor. 1 of Prop. 10), the norm of $\mu$ is equal to that of $|\mu| = \mu^+ + \mu^-$ .

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

Cited by

Nothing.