On reduction theory and Brown measure for closed unbounded operators Academic Article uri icon


  • 2016 Elsevier Inc. The theory of direct integral decompositions of both bounded and unbounded operators is further developed; in particular, results about spectral projections, functional calculus and affiliation to von Neumann algebras are proved. For operators belonging to or affiliated to a tracial von Neumann algebra that is a direct integral von Neumann algebra, the Brown measure is shown to be given by the corresponding integral of Brown measures.

published proceedings

  • Journal of Functional Analysis

author list (cited authors)

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

citation count

  • 7

complete list of authors

  • Dykema, K||Noles, J||Sukochev, F||Zanin, D

publication date

  • December 2016