Detelin Dosev, William B. Johnson
Published 2009-04-20, updated 2009-07-26Version 2
The operators on $\ell_{\infty}$ which are commutators are those not of the form $\lambda I + S$ with $\lambda\neq 0$ and $S$ strictly singular.
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
Commutators on $L_p$, $1\le p<\infty$
Spectral characterization of sums of commutators II
Around the closures of the set of commutators and the set of differences of idempotent elements of $\mathcal{B}(\mathcal{H})$
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