Bourbaki

Example 5

Tag 02D7, permanent. Cite it as [Bourbaki, Tag 02D7].

Théories spectrales, chapter I, § 6. Algèbres stellaires

Let (Ai)(A_i) be a family of stellar algebras. The Banach involutive algebra A product of the AiA_i (example 5 of I, p. 101) is a stellar algebra, called the product stellar algebra of the AiA_i.

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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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.