Bourbaki

Exercise 4, § 1

Tag 02Y5, permanent. Cite it as [Bourbaki, Tag 02Y5].

Spectral Theories, IV, p. 314

Let EE be an infinite-dimensional complex Hilbert space. There exists a compact endomorphism of EE which is not of finite trace.

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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.