Corollary 2

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

Topological Vector Spaces, II, p. 10, § 2. Convex sets

Let f be an affine linear mapping of the affine space E in the affine space F; for each subset A of E, the convex envelope of f(A) is the image under f of the convex envelope of A.

There is a similar statement for linear mappings and balanced convex envelopes.

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

Cited by

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Cites

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