Remark 2

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

Integration, IV, p. 31, § 3. LP spaces

The Cor. of Th. 6 no longer holds if it is not assumed that the filter $\mathfrak{F}$ has a countable base (cf. §1, No. 3, Remark 1 following the Cor. of Th. 3).

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

Cited by

Nothing.

Cites

§1, No. 3, Remark 1
Cor. of Th. 6