Example 1
Tag 02D3, permanent. Cite it as [Bourbaki, Tag 02D3].
Théories spectrales, chapter I, § 6. Algèbres stellaires
The Banach involutive algebra of continuous endomorphisms of a complex Hilbert space (example 3 of I, p. 100) is a stellar algebra (EVT, V, p. 39, prop. 2).
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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