Bourbaki

Corollary

Tag 02U2, permanent. Cite it as [Bourbaki, Tag 02U2].

Théories spectrales, chapter III, § 5. Perturbation par une application linéaire compacte

The set of the λ∈K\lambda \in K for which the space FλF_{\lambda} is not zero is a countable, closed and discrete subset of K.

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

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