Bourbaki

Proposition 5

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

Théories spectrales, chapter III, § 3. Endomorphismes de Fredholm et endomorphismes de Riesz

Let E be a separated locally convex space. Every Riesz endomorphism of E is of index zero.

This follows from the definition and lemma 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.

Cited by

Nothing.

Cites

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