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.
Citation
K. Dykema. F. Sukochev. D. Zanin. "Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras." Illinois J. Math. 59 (3) 819 - 824, Fall 2015. https://doi.org/10.1215/ijm/1475266410
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