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Zeitschrift für Analysis und ihre Anwendungen

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Volume 7, Issue 1, 1988, pp. 1–14
DOI: 10.4171/ZAA/278

Published online: 1988-02-29

On Commutators in Algebras of Unbounded Operators

Werner Timmermann[1]

(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