English

Some operator convex functions of several variables

Functional Analysis 2014-06-09 v2

Abstract

We obtain operator concavity (convexity) of some functions of two or three variables by using perspectives of regular operator mappings of one or several variables. As an application, we obtain, for 0<p<1, 0<p < 1, concavity, respectively convexity, of the Frech\'{e}t differential mapping associated with the functions tt1+pt \to t^{1+p} and tt1p.t \to t^{1-p}.

Keywords

Cite

@article{arxiv.1405.4688,
  title  = {Some operator convex functions of several variables},
  author = {Zhihua Zhang},
  journal= {arXiv preprint arXiv:1405.4688},
  year   = {2014}
}

Comments

10 pages, minor revision

R2 v1 2026-06-22T04:17:47.929Z