Abstract
The properties of a bounded derivation $d$ on a complex Banach algebra $A$ such that the spectrum $\sigma([x,dx])$ is finite for all $x\in A$ are studied. In particular we show that, if $\sigma([x,dx])$ is a singleton for each~$x$, then $d$ maps into the radical of $A$.
Citation
Nadia Boudi. Martin Mathieu. "Commutators with finite spectrum." Illinois J. Math. 48 (2) 687 - 699, Summer 2004. https://doi.org/10.1215/ijm/1258138407
Information
