Israel Journal of Mathematics

, Volume 194, Issue 1, pp 151–182 | Cite as

Examples of uniformly homeomorphic Banach spaces

  • N. J. Kalton
Article
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Abstract

We give several examples of separable Banach spaces which are nonisomorphic but uniformly homeomorphic. For example, we show that for every 1 < p ≠ 2 < ∞ there are two uniformly homeomorphic subspaces (respectively, quotients) of ℓ p which are not linearly isomorphic; similarly c 0 has two uniformly homeomorphic subspaces which are not isomorphic. We also give an example of two non-isomorphic separable L ∞-spaces which are coarsely homeomorphic (i.e. have Lipschitz equivalent nets).

Keywords

Banach Space Closed Subspace Short Exact Sequence Israel Journal Separable Banach Space 
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Copyright information

© Hebrew University Magnes Press 2012

Authors and Affiliations

  • N. J. Kalton
    • 1
  1. 1.Department of MathematicsUniversity of MissouriColumbiaUSA

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