Bourbaki

Exercise 10, § 2

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Spectral Theories, I, p. 157

Let AA be a normed algebra and x,y∈Ax, y\in A. We have ϱ(xy)=ϱ(yx)\varrho (xy) =\varrho (yx).

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Machine translation of the English, by gpt-5-mini. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.