Corollary

Tag 0336, permanent. Cite it as [Bourbaki, Tag 0336].

Théories spectrales, chapter IV, § 4. Opérateurs partiels

If $u$ is a closed partial operator with dense domain from E into F, then $u^*$ has dense domain and one has $u^{**}=u$ .

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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