Strengthened convexity of positive operator monotone decreasing functions
Functional Analysis
2021-06-03 v3
Abstract
We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or the identity map), and functional calculus by operator monotone functions defined on the positive real numbers instead of the logarithmic function.
Keywords
Cite
@article{arxiv.1902.07941,
title = {Strengthened convexity of positive operator monotone decreasing functions},
author = {Megumi Kirihata and Makoto Yamashita},
journal= {arXiv preprint arXiv:1902.07941},
year = {2021}
}
Comments
v3: correct typo (after publication), v2: minor changes, to appear in Math. Scand., v1: 5 pages