Corollary 1

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

— For every measure $\mu$ on $X$ , the norms of $\mu$ and $|\mu|$ are equal; $\mu$ is bounded if and only if $|\mu|$ is bounded.

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

Cited by

Nothing.