Bourbaki

Definition 12

Tag 0378, permanent. Cite it as [Bourbaki, Tag 0378].

Théories spectrales, chapter IV, § 5. Opérateurs partiels normaux et théorème spectral

Let uu be a self-adjoint partial operator on E. One says that uu has compact resolvent if the equivalent conditions of prop. 19 are satisfied.

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.

Cited by

Nothing.

Cites

Nothing.

Machine translation of the English, by gpt-5.4, gpt-5-6-mini, 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.