Remark 8

Tag 033F, permanent. Cite it as [Bourbaki, Tag 033F].

Théories spectrales, chapter IV, § 4. Opérateurs partiels

Let $u$ be a symmetric partial operator on E. A real number $c$ is a lower bound of $u$ if and only if the operator $u-c\cdot 1_E$ is positive.

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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