A decomposition theorem in II1-factors Academic Article uri icon


  • 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.

published proceedings

  • Journal fr die reine und angewandte Mathematik (Crelles Journal)

author list (cited authors)

  • Dykema, K., Sukochev, F., & Zanin, D.

citation count

  • 13

complete list of authors

  • Dykema, Kenneth||Sukochev, Fedor||Zanin, Dmitriy

publication date

  • November 2015