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

نویسندگان

  • William B. Johnson
  • Gideon Schechtman
چکیده

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.

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تاریخ انتشار 2013