SUBSPACES OF Lp THAT EMBED INTO Lp(μ) WITH μ FINITE

Abstract

Enflo and Rosenthal [4] proved that `p(א1), 1 < p < 2, does not (isomorphically) embed into Lp(μ) with μ a finite measure. We prove that if X is a subspace of an Lp space, 1 < p < 2, and `p(א1) does not embed into X, then X embeds into Lp(μ) for some finite measure μ. 

Topics

Cite this paper

@inproceedings{Johnson2013SUBSPACESOL, title={SUBSPACES OF Lp THAT EMBED INTO Lp(μ) WITH μ FINITE}, author={William B. Johnson and Gideon Schechtman}, year={2013} }