Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras

2013/10/09 by Dykema, Ken, Sukochev, Fedor, Zanin, Dmitriy
#47C15 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1310.2524

Abstract

The decompositions of an element of a finite von Neumann algebra into the sum of a normal operator plus an s.o.t.-quasinilpotent operator, obtained using the Haagerup--Schultz hyperinvariant projections, behave well with respect to holomorphic functional calculus.

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