Bourbaki

Remark

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

Théories spectrales, chapter III, § 1. Applications linéaires compactes

If E is an infinite-dimensional Hilbert space, the star algebra L(E)\mathscr{L}(E) does not have the approximation property (A. Szankowski, B(H)\mathscr{B}(H) does not have the approximation property, Acta Math. 147 (1981), p. 89–108).

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.

Cited by

Nothing.

Cites

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Machine translation of the English, by gpt-5-6-mini, gpt-5-mini, gpt-5.4, 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.