English

Commutators on $\ell_{\infty}$

Functional Analysis 2009-07-27 v2

Abstract

The operators on \ell_{\infty} which are commutators are those not of the form λI+S\lambda I + S with λ0\lambda\neq 0 and SS strictly singular.

Keywords

Cite

@article{arxiv.0904.3120,
  title  = {Commutators on $\ell_{\infty}$},
  author = {Detelin Dosev and William B. Johnson},
  journal= {arXiv preprint arXiv:0904.3120},
  year   = {2009}
}

Comments

15 pages. Submitted to the Bulletin of the London Mathematical Society The proof of Theorem 3.3 was corrected. Other minor changes were made

R2 v1 2026-06-21T12:53:20.242Z