Geodesic
A note on the commutator of two operators on a locally convex space
Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 2, pp. 163-168.

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Denote by $C$ the commutator $AB-BA$ of two bounded operators $A$ and $B$ acting on a locally convex topological vector space. If $AC-CA=0$, we show that $C$ is a quasinilpotent operator and we prove that if $AC-CA$ is a compact operator, then $C$ is a Riesz operator.
DOI : 10.14712/1213-7243.2015.155
Classification : 46A03, 47B06, 47B47
Keywords: locally convex space; commutator; nilpotent operator; compact operator; Riesz operator 
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Kramar, Edvard. A note on the commutator of two operators on a locally convex space. Commentationes Mathematicae Universitatis Carolinae, Tome 57 (2016) no. 2, pp. 163-168. doi : 10.14712/1213-7243.2015.155. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.155/

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