Naj bo ▫${\cal A}$▫ standardna operatorska algebra na neskončno dimenzionalnem Hilbertovem prostoru ▫$X$▫. Potem je vsaka aditivna derivacija ▫$D:{\cal A}\to {\cal B}(X)$▫ oblike ▫$D(A)=AT-TA$▫ za ...nek ▫$T\in {\cal B}(X)$▫.
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