Definition 4

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

Topological Vector Spaces, IV, p. 18, § 2. Bidual. Reflexive spaces

A locally convex Hausdorff and barrelled space in which every bounded subset is relatively compact is called a Montel space.

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

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