Bourbaki

Remark 2

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

Topological Vector Spaces, IV, p. 16, § 2. Bidual. Reflexive spaces

Let E be a reflexive space and M a closed vector subspace of E. It may happen that neither M nor E/M are reflexive spaces (IV, p. 63, exerc. 10). \* For the case of normed spaces, see prop. 7 of IV, p. 17. \*

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.