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The compact approximation property does not imply the approximation property. (English) Zbl 0814.46017
Summary: It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.

MSC:
46B28 Spaces of operators; tensor products; approximation properties
46B10 Duality and reflexivity in normed linear and Banach spaces
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