Characterizing matrix monotonicity of fixed order on general sets
Functional Analysis
2019-06-17 v1
Abstract
We give new characterizations for matrix monotonicity and convexity of fixed order which connects previous characterizations by Loewner, Dobsch, Donoghue, Kraus and Bendat--Sherman. The ideas introduced are then used to characterize matrix monotone functions of arbitrary order on general subsets of the real line.
Cite
@article{arxiv.1906.06155,
title = {Characterizing matrix monotonicity of fixed order on general sets},
author = {Otte Heinävaara},
journal= {arXiv preprint arXiv:1906.06155},
year = {2019}
}
Comments
16 pages, no figures