English

On impossible extensions of Krivine's Theorem

Functional Analysis 2016-09-06 v1

Abstract

We give examples of two Banach spaces. One Banach space has no spreading model which contains p\ell_p (1p<1\le p<\infty) or c0c_0. The other space has an unconditional basis for which p\ell_p (1p<1\le p<\infty) and c0c_0 are block finitely represented in all block bases.

Keywords

Cite

@article{arxiv.math/9308205,
  title  = {On impossible extensions of Krivine's Theorem},
  author = {Edward Odell and Thomas Schlumprecht},
  journal= {arXiv preprint arXiv:math/9308205},
  year   = {2016}
}
R2 v1 2026-07-22T17:54:24.871Z