Subspaces of Lp that embed into Lp(µ) with µ finite Academic Article uri icon

abstract

  • © 2014, Hebrew University of Jerusalem. Enflo and Rosenthal [4] 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.

citation count

  • 2

complete list of authors

  • Johnson, William B||Schechtman, Gideon

publication date

  • October 2014