Commutators on ${\ell }_{\infty }$

Abstract

The operators on ${\ell }_{\infty }$ which are commutators are those not of the form $\lambda I+S$ with $\lambda \ne 0$ and $S$ strictly singular.

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