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most citedCharacterization of quasi-Banach spaces which coarsely embed into a Hilbert space

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math.FA2000

An example of an asymptotically Hilbertian space which fails the approximation property

P. G. Casazza, C. L. Garcia, W. B. Johnson

Following Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the appro…