The space of all bounded operators on Hilbert space does not have the approximation property. (English) Zbl 0413.46003

Seminaire d’analyse fonctionnelle 1978-1979, Palaiseau, Expose No. 14-15, 28 p. (1979).


46A32 Spaces of linear operators; topological tensor products; approximation properties
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46M05 Tensor products in functional analysis
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
46C99 Inner product spaces and their generalizations, Hilbert spaces
46L05 General theory of \(C^*\)-algebras
47L05 Linear spaces of operators
47L30 Abstract operator algebras on Hilbert spaces
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