Bourbaki

Exercise 33, § 1

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

Spectral Theories, III, p. 117

(a) Prove that the strict inductive limit of a sequence of approximation spaces is an approximation space.

(b) Prove that the locally convex direct sum of a family of approximation spaces is an approximation space.

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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.