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arXiv · 1310.2524

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

Ken Dykema·Fedor Sukochev·Dmitriy Zanin
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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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Ken Dykema, Fedor Sukochev, Dmitriy Zanin. 2013-10-09. Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. https://arxiv.org/abs/1310.2524

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