Bourbaki

Remark 2

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

Théories spectrales, chapter I, § 6. Algèbres stellaires

Let A be a normed involutive algebra. If ∥x∥2=∥x∗x∥\|x\|^2=\|x^*x\| for all x∈Ax\in A, the completion A^\widehat{A} of A is a stellar algebra.

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-5.4, 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.