Illinois Journal of Mathematics

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

K. Dykema, F. Sukochev, and D. Zanin

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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.

Article information

Illinois J. Math., Volume 59, Number 3 (2015), 819-824.

Received: 1 June 2016
Revised: 7 June 2016
First available in Project Euclid: 30 September 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47C15: Operators in $C^*$- or von Neumann algebras


Dykema, K.; Sukochev, F.; Zanin, D. Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras. Illinois J. Math. 59 (2015), no. 3, 819--824. doi:10.1215/ijm/1475266410.

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  • L. G. Brown, Lidskii's theorem in the type II case, Geometric methods in operator algebras (Kyoto, 1983), vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 1–35.
  • K. Dykema, F. Sukochev and D. Zanin, A decomposition theorem in II$_1$-factors, J. Reine Angew. Math. 708 (2015), 97–114.
  • U. Haagerup and H. Schultz, Invariant subspaces for operators in a general II$_1$-factor, Publ. Math. Inst. Hautes Études Sci. 109 (2009), 19–111.