English

On a correspondence between regular and non-regular operator monotone functions

Mathematical Physics 2009-04-07 v1 math.MP Operator Algebras

Abstract

We prove that there is a bijection between the families of regular and non-regular operator monotone functions. As an application we give a new proof of the operator monotonicity of a certain class of functions related to Wigner-Yanase-Dyson skew information.

Cite

@article{arxiv.0808.0468,
  title  = {On a correspondence between regular and non-regular operator monotone functions},
  author = {P. Gibilisco and F. Hansen and T. Isola},
  journal= {arXiv preprint arXiv:0808.0468},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T11:07:23.780Z