English

Transforms on operator monotone functions

Functional Analysis 2012-06-26 v1 Operator Algebras

Abstract

For an operator monotone function f(t)f(t) on the positive real line, we show the operator monotonicity of the type of the functions (ta)(tb)/(f(t)f(a))(f(t)f(b))(t-a)(t-b)/(f(t)-f(a))(f^\sharp(t)-f^\sharp(b)).

Keywords

Cite

@article{arxiv.1206.5452,
  title  = {Transforms on operator monotone functions},
  author = {Masato Kawasaki and Masaru Nagisa},
  journal= {arXiv preprint arXiv:1206.5452},
  year   = {2012}
}
R2 v1 2026-06-21T21:24:31.053Z