Commutator estimates for normal operators in factors with applications to derivations

Alexei Ber, Matthijs Borst, Fedor Sukochev

For a normal measurable operator $a$ affiliated with a von Neumann factor $\mathcal{M}$ we show: If $\mathcal{M}$ is infinite, then there is ${\lambda }_0\in \mathbb{C}$ so that for $\varep…