Very tight embeddings of subspaces of L-p, 1 <= p < 2, into l(p)(n) uri icon

abstract

  • We prove that for 1 p < r < 2, every n-dimensional subspace E of Lr, in particular lrn, well-embeds into lpm for some m (1 + ) n, where "well" depends on p, r, and the arbitrary > 0, but not on n.

published proceedings

  • GEOMETRIC AND FUNCTIONAL ANALYSIS

author list (cited authors)

  • Johnson, W. B., & Schechtman, G.

citation count

  • 10

complete list of authors

  • Johnson, WB||Schechtman, G

publication date

  • August 2003