English

Factorization of completely bounded weakly compact operators

Functional Analysis 2016-09-07 v1

Abstract

We prove that in the setting of operator spaces the result of Davis, Figiel, Johnson and Pelczynski on factoring weakly compact operators holds accordingly. Though not related directly to the main theorem we add a remark on the description of weakly compact subsets in the dual of noncommutative vector valued L1{\rm L}_1.

Keywords

Cite

@article{arxiv.math/9706210,
  title  = {Factorization of completely bounded weakly compact operators},
  author = {Hermann Pfitzner and Georg Schluechtermann},
  journal= {arXiv preprint arXiv:math/9706210},
  year   = {2016}
}