Remark

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

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

We shall see later (cor. 4 of V, p. 466) that every unitary representation of G is semisimple.

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.

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