A decomposition theorem in II1-factors
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© 2015 by De Gruyter. 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.
author list (cited authors)
Dykema, K., Sukochev, F., & Zanin, D.