SUBSPACES OF L-p THAT EMBED INTO L-p(mu) WITH mu FINITE uri icon

abstract

  • 2014, Hebrew University of Jerusalem. Enflo and Rosenthal [4] proved that p(1), 1 < p < 2, does not (isomorphically) embed into Lp() with a finite measure. We prove that if X is a subspace of an Lp space, 1 < p < 2, and p(1) does not embed into X, then X embeds into Lp() for some finite measure .

published proceedings

  • ISRAEL JOURNAL OF MATHEMATICS

author list (cited authors)

  • Johnson, W. B., & Schechtman, G.

citation count

  • 3

complete list of authors

  • Johnson, William B||Schechtman, Gideon

publication date

  • January 2014