On reduction theory and Brown measure for closed unbounded operators
Operator Algebras
2015-09-14 v1
Abstract
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.
Cite
@article{arxiv.1509.03362,
title = {On reduction theory and Brown measure for closed unbounded operators},
author = {Ken Dykema and Joseph Noles and Fedor Sukochev and Dmitriy Zanin},
journal= {arXiv preprint arXiv:1509.03362},
year = {2015}
}
Comments
16 pages