Intersection bodies and Lp-spaces

  • Kalton N
  • Koldobsky A
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 22

    Citations

    Citations of this article.

Abstract

We prove that the convex intersection bodies are isomorphically equivalent to unit balls of subspaces of Lqfor each q ∈ (0, 1). This is done by extending to negative values of p the factorization theorem of Maurey and Nikishin which states that for any 0 < p < q < 1 every Banach subspace of Lpis isomorphic to a subspace of Lq. © 2004 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Embeddings of normed spaces
  • Factorization theorems
  • Intersection bodies
  • Lp-spaces

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free