English

Brown measure of $R$-diagonal operators, revisited

Operator Algebras 2022-10-31 v2 Probability

Abstract

We use subordination functions perspective to reformulate Haagerup--Schultz's approach for the Brown measure of RR-diagonal operators. This allows us to simplify the original argument and find a connection with the other approach due to Belinschi-\'{S}niady-Speicher. The Brown measure formula can be rewritten in terms of subordination functions.

Keywords

Cite

@article{arxiv.2204.01896,
  title  = {Brown measure of $R$-diagonal operators, revisited},
  author = {Ping Zhong},
  journal= {arXiv preprint arXiv:2204.01896},
  year   = {2022}
}