A decomposition theorem in II1-factors Academic Article uri icon


  • © 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.

citation count

  • 10

publication date

  • January 2015