English

Extensions of $c_0$

Functional Analysis 2016-09-07 v1

Abstract

If XX is a closed subspace of a Banach space LL which embeds into a Banach lattice not containing n\ell_\infty^n's uniformly and L/XL/X contains n\ell_\infty^n's uniformly, then XX cannot have local unconditional structure in the sense of Gordon-Lewis (GL-{\sl l.u.st.}).

Keywords

Cite

@article{arxiv.math/9612209,
  title  = {Extensions of $c_0$},
  author = {William B. Johnson},
  journal= {arXiv preprint arXiv:math/9612209},
  year   = {2016}
}