Commutators with finite spectrum
Boudi, Nadia ; Mathieu, Martin
Illinois J. Math., Tome 48 (2004) no. 3, p. 687-699 / Harvested from Project Euclid
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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 $A$.
Publié le : 2004-04-15
Classification:  47B48,  46H05,  47B47 
@article{1258138407,
     author = {Boudi, Nadia and Mathieu, Martin},
     title = {Commutators with finite spectrum},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 687-699},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138407}
}

Boudi, Nadia; Mathieu, Martin. Commutators with finite spectrum. Illinois J. Math., Tome 48 (2004) no. 3, pp.  687-699. http://gdmltest.u-ga.fr/item/1258138407/