Bourbaki

Remark 3

Tag 0256, permanent. Cite it as [Bourbaki, Tag 0256].

Théories spectrales, chapter I, § 1. Spectres et caractères

If xx belongs to the radical of A (A, VIII, p. 430, def. 3), one has SpA′(x)={0}'_A(x) =\{0\}. This follows from Remark 7 of I, p. 3.

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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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.