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arXiv · 1302.1114

A decomposition theorem in II_1-factors

K. Dykema·F. Sukochev·D. Zanin
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Abstract

Building on results of Haagerup and Schultz, we decompose an arbitrary operator in a diffuse, finite von Neumann algebra into the sum of a normal operator and an s.o.t.-quasinilpotent operator. We also prove an analogue of Weyl's inequality relating eigenvalues and singular values for operators in a diffuse, finite von Neumann algebra.

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K. Dykema, F. Sukochev, D. Zanin. 2013-02-05. A decomposition theorem in II_1-factors. https://arxiv.org/abs/1302.1114

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