Bourbaki

Theorem 3 (Raikov)

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

Théories spectrales, chapter V, § 3. Fonctions de type positif

The weak topology on Pos1(G)_1(G) coincides with the topology of compact convergence.

We shall first prove a few lemmas.

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.