On Commutators in Algebras of Unbounded Operators
Werner Timmermann
Technische Universität Dresden, Germany
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Abstract
For diagonal, quasidiagonal and finite dimensional operators in topological algebras of unbounded operators there are given several criteria which imply their representation as I commutators. It is proved that the commutators are dense in the maximal Op*-algebra with respect to the uniform topology. Simple facts about selfcommutators, some conjectures and problems are given.
Cite this article
Werner Timmermann, On Commutators in Algebras of Unbounded Operators. Z. Anal. Anwend. 7 (1988), no. 1, pp. 1–14
DOI 10.4171/ZAA/278