English

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

Operator Algebras 2013-10-10 v1

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.

Keywords

Cite

@article{arxiv.1310.2524,
  title  = {Holomorphic functional calculus on upper triangular forms in finite von Neumann algebras},
  author = {Ken Dykema and Fedor Sukochev and Dmitriy Zanin},
  journal= {arXiv preprint arXiv:1310.2524},
  year   = {2013}
}

Comments

5 pages

R2 v1 2026-06-22T01:43:30.847Z