Graduate Student Organization Seminar

Date: September 11, 2014

Time: 4:00PM - 5:00PM

Location: BLOC 506A

Speaker: Joseph Noles, Texas A&M University

Title: Upper triangular forms and spectral orderings in a II_1-factor

Abstract: 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.