Bourbaki

Remark 1

Tag 07FJ, permanent. Cite it as [Bourbaki, Tag 07FJ].

Topological Vector Spaces, II, p. 36, § 5. Separation of convex sets

When 0∈M0 \in M, th. 1 can be stated as follows : there exists a continuous linear form in E, such that g(x)=0g(x) = 0 in MM and g(x)>0g(x) > 0 in AA (II, p. 8, prop. 4).

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

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Cites

Transcribed from the printed volume. Not translated.