Subspaces of Lp that embed into Lp(µ) with µ finite
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© 2014, Hebrew University of Jerusalem. Enflo and Rosenthal  proved that ℓp(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 ℓp(ℵ1) does not embed into X, then X embeds into Lp(µ) for some finite measure µ.
author list (cited authors)
Johnson, W. B., & Schechtman, G.
complete list of authors
Johnson, William B||Schechtman, Gideon