English

On generalized Powers-St$\o$rmer's Inequality

Operator Algebras 2012-05-01 v1

Abstract

A generalization of Powers-St\o\ormer's inequality for operator monotone functions on [0,+)[0, +\infty) and for positive linear functional on general CC^*-algebras will be proved. It also will be shown that the generalized Powers-St\o\ormer inequality characterizes the tracial functionals on CC^*-algebras.

Keywords

Cite

@article{arxiv.1204.6665,
  title  = {On generalized Powers-St$\o$rmer's Inequality},
  author = {Dinh Trung Hoa and Hiroyuki Osaka and Ho Minh Toan},
  journal= {arXiv preprint arXiv:1204.6665},
  year   = {2012}
}

Comments

This is a revised version which was submitted to LAA

R2 v1 2026-06-21T20:56:38.938Z