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Journal article
Note on Lowner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young
Monatshefte für Mathematik, v 189(2), pp 377-381
01 Jun 2019
Abstract
In this brief note, we show that the hypotheses of Lowner's theorem on matrix monotonicity in several commuting variables as proved by Agler,
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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Details
- Title
- Note on Lowner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young
- Creators
- J. E. Pascoe - University of Florida
- Publication Details
- Monatshefte für Mathematik, v 189(2), pp 377-381
- Publisher
- Springer Nature
- Number of pages
- 5
- Grant note
- DMS 1361720; DMS 1606260 / National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000467929500010
- Scopus ID
- 2-s2.0-85057220071
- Other Identifier
- 991021879629904721
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- Web of Science research areas
- Mathematics