Bourbaki

Remark

Tag 03A6, permanent. Cite it as [Bourbaki, Tag 03A6].

Théories spectrales, chapter V, § 2. Représentations des groupes localement compacts

The contragredient representation is not necessarily continuous when E′E' is endowed with the strong topology (cf. INT, VIII, p. 191, § 2, exercise 3, d)). One can show that it is so if the space E is semi-reflexive (loc. cit., c)).

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

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Cites

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Machine translation of the English, by gpt-5.4, gpt-5-6-mini, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.