Upper Triangular Forms and Spectral Orderings in a II_1-factor

Joseph Noles

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arXiv · 1406.2774

Upper Triangular Forms and Spectral Orderings in a II_1-factor

Joseph Noles

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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.

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BibTeX RIS

Joseph Noles. 2014-06-11. Upper Triangular Forms and Spectral Orderings in a II_1-factor. https://arxiv.org/abs/1406.2774

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