Bourbaki

Example 3

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

Théories spectrales, chapter I, § 6. Algèbres stellaires

Let E be a complex Hilbert space. An element xx of the involutive algebra L(E)\mathscr{L}(E) (example 1 of I, p. 102) is positive if and only if it is a positive endomorphism of E in the sense of EVT, V, p. 45, def. 6 (prop. 8 of I, p. 138).

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.