Fall 2014, Thursdays, Blocker 506A, 4:00-4:50 PM

Date: September 11

"  Upper triangular forms and spectral orderings in a II_1-factor "
  Joseph Noles  


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. We prove that 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.