ar X iv : 0 90 4 . 04 62 v 1 [ m at h . FA ] 2 A pr 2 00 9 THE UNIVERSALITY OF l 1 AS A DUAL SPACE

Abstract

Let X be a Banach space with a separable dual. We prove that X embeds isomorphically into a L∞ space Z whose dual is isomorphic to ℓ1. If X has a shrinking finite dimensional decomposition and X * does not contain an isomorph of ℓ1, then we construct such a Z, as above, not containing an isomorph of c0. If X is separable and reflexive, we show that Z can be… (More)

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@inproceedings{FreemanarXI, title={ar X iv : 0 90 4 . 04 62 v 1 [ m at h . FA ] 2 A pr 2 00 9 THE UNIVERSALITY OF l 1 AS A DUAL SPACE}, author={D. Freeman and E. W. Odell and TH. SCHLUMPRECHT} }