English

Measures of weak non-compactness in spaces of nuclear operators

Functional Analysis 2019-05-03 v1 Operator Algebras

Abstract

We show that in the space of nuclear operators from q(Λ)\ell^q(\Lambda) to p(J)\ell^p(J) the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas for these measures. As a consequence the same is proved for preduals of atomic von Neumann algebras.

Keywords

Cite

@article{arxiv.1711.08906,
  title  = {Measures of weak non-compactness in spaces of nuclear operators},
  author = {Jan Hamhalter and Ondřej F. K. Kalenda},
  journal= {arXiv preprint arXiv:1711.08906},
  year   = {2019}
}

Comments

19 pages