Bourbaki

Definition 8

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

Théories spectrales, chapter I, § 6. Algèbres stellaires

The stellar algebra Stell(A) is called the enveloping stellar algebra of the normed involutive algebra A.

If A is commutative, then Stell(A) is commutative; if A is unital, then Stell(A) is unital.

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-5.4, 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.