Bourbaki

Exercise 8, § 4

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

Spectral Theories, III, p. 124

Let EE be a Hilbert space. Prove directly Theorem 4 of III, p. 64 without using the Borsuk–Ulam theorem.

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Machine translation of the English, by gpt-5-6. Not checked by a person.