Upper Triangular Forms and Spectral Orderings in a II_1-factor
Operator Algebras
2015-11-24 v2
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. 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.
Cite
@article{arxiv.1406.2774,
title = {Upper Triangular Forms and Spectral Orderings in a II_1-factor},
author = {Joseph Noles},
journal= {arXiv preprint arXiv:1406.2774},
year = {2015}
}
Comments
Updated, 10 pages