English

Extension of Operators from Weak$^*$-closed Subspaces of $\ell_1$

Functional Analysis 2009-09-25 v1

Abstract

It is proved that every operator from a weak^*-closed subspace of 1\ell_1 into a space C(K)C(K) of continuous functions on a compact Hausdorff space KK can be extended to an operator from 1\ell_1 to C(K)C(K).

Keywords

Cite

@article{arxiv.math/9412217,
  title  = {Extension of Operators from Weak$^*$-closed Subspaces of $\ell_1$},
  author = {William B. Johnson and M. Zippin},
  journal= {arXiv preprint arXiv:math/9412217},
  year   = {2009}
}