Bourbaki

Example 6

Tag 02D8, permanent. Cite it as [Bourbaki, Tag 02D8].

Théories spectrales, chapter I, § 6. Algèbres stellaires

Let A be a stellar algebra. If B is a closed involutive subalgebra of A, then B is a stellar algebra. We shall see (V, to appear) that every stellar algebra is isomorphic to a closed involutive subalgebra of the stellar algebra of endomorphisms of a Hilbert space (example 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.

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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.