Bourbaki

Definition 1

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

Théories spectrales, chapter I, § 5. Algèbres de Banach commutatives régulières

Let A be a commutative Banach algebra. It is said to be regular if it satisfies the equivalent conditions of Proposition 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

Nothing.

Cites

Nothing.

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.