# The universality of ℓ1 as a dual space

@article{Freeman2011TheUO,
title={The universality of ℓ1 as a dual space},
author={Daniel Freeman and Edward Odell and Th. Schlumprecht},
journal={Mathematische Annalen},
year={2011},
volume={351},
pages={149-186}
}
Let X be a Banach space with a separable dual. We prove that X embeds isomorphically into a $${{\mathcal L}_\infty}$$ space Z whose dual is isomorphic to ℓ1. If, moreover, U is a space with separable dual, so that U and X are totally incomparable, then we construct such a Z, so that Z and U are totally incomparable. If X is separable and reflexive, we show that Z can be made to be somewhat reflexive.

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 27 REFERENCES

## A hereditarily indecomposable L ∞space that solves the scalarpluscompact ( preprint )

S. A. Argyros, R. Haydon
• 2005