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B(H) does not have the approximation property. (English) Zbl 0486.46012

##### MSC:
 46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces 46B20 Geometry and structure of normed linear spaces 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 47L05 Linear spaces of operators 47L30 Abstract operator algebras on Hilbert spaces 46L05 General theory of $$C^*$$-algebras 46L10 General theory of von Neumann algebras 05A17 Combinatorial aspects of partitions of integers 15B57 Hermitian, skew-Hermitian, and related matrices
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##### References:
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