English

Some new characterizations of Banach spaces containing $\ell^1$

Functional Analysis 2007-11-01 v1

Abstract

Several new characterizations of Banach spaces containing a subspace isomorphic to 1\ell^1, are obtained. These are applied to the question of when 1\ell^1 embeds in the injective tensor product of two Banach spaces.

Keywords

Cite

@article{arxiv.0710.5944,
  title  = {Some new characterizations of Banach spaces containing $\ell^1$},
  author = {Haskell P. Rosenthal},
  journal= {arXiv preprint arXiv:0710.5944},
  year   = {2007}
}

Comments

27 pages, AMSLaTeX