Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1988-02-29
On Commutators in Algebras of Unbounded OperatorsWerner Timmermann (1) Technische Universität Dresden, Germany
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.
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Timmermann Werner: On Commutators in Algebras of Unbounded Operators. Z. Anal. Anwend. 7 (1988), 1-14. doi: 10.4171/ZAA/278