A decomposition theorem in II1-factors

作者:Dykema Kenneth*; Sukochev Fedor; Zanin Dmitriy
来源:Journal fur die Reine und Angewandte Mathematik, 2015, 708(708): 97-114.
DOI:10.1515/crelle-2013-0084

摘要

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.

  • 出版日期2015-11