  Dykema, Sukochev and Zanin used a Peano curve covering the support of the
Brown measure of an operator T in a diffuse, finite von Neumann algebra to give
an ordering to the support of the Brown measure, and create a decomposition T =
N + Q, where N is normal and Q is s.o.t.-quasinilpotent. In this paper we prove
a broader class of measurable functions can be used to order the support of the
Brown measure, giving normal plus s.o.t.-quasinilpotent decompositions.
