Bourbaki

Corollary

Tag 02PF, permanent. Cite it as [Bourbaki, Tag 02PF].

Théories spectrales, chapter III, § 1. Applications linéaires compactes

Every commutative star algebra is an approximation space.

In fact, such an algebra is isomorphic to the algebra of continuous functions tending to 0 at infinity on a locally compact space (I, p. 108, th. 1).

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-5-6-mini, gpt-5-mini, gpt-5.4, 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.