Bourbaki

Corollary 1

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

Théories spectrales, chapter V, § 4. Représentations des groupes compacts

Let π\pi be an irreducible continuous representation of G in a separated quasi-complete locally convex space E. The space E is finite-dimensional.

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

Nothing.

Cites

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Machine translation of the English, by gpt-5.4, against glossary version 34. Not checked by a person.