A+ CATEGORY SCIENTIFIC UNIT

Symmetric subspaces of $l_1$ with large projection constants

Volume 134 / 1999

Bruce L. Chalmers, Grzegorz Lewicki Studia Mathematica 134 (1999), 119-133 DOI: 10.4064/sm-134-2-119-133

Abstract

We construct k-dimensional (k ≥ 3) subspaces $V^k$ of $l_1$, with a very simple structure and with projection constant satisfying $λ(V^k) ≥ λ(V^k,l_1) > λ(l_2^{(k)})$.

Authors

  • Bruce L. Chalmers
  • Grzegorz Lewicki

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