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arXiv · 1906.06155

Characterizing matrix monotonicity of fixed order on general sets

Otte Heinävaara
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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.

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Otte Heinävaara. 2019-06-14. Characterizing matrix monotonicity of fixed order on general sets. https://arxiv.org/abs/1906.06155

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