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Note on L\"owner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young

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Publication:6254511

DOI10.1007/S00605-018-1239-YarXiv1409.2605MaRDI QIDQ6254511

Author name not available (Why is that?)

Publication date: 9 September 2014

Abstract: In this brief note, we show that the hypotheses of L"owner's theorem on matrix monotonicity in several commuting variables as proved by Agler, McCarthy and Young can be significantly relaxed. Specifically, we extend their theorem from continuously differentiable locally matrix monotone functions to arbitrary locally matrix monotone functions using mollification techniques.





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