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Note on L\"owner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young
arXiv (Cornell University)
09 Sep 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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Details
- Title
- Note on L\"owner's theorem on matrix monotone functions in several commuting variables of Agler, McCarthy and Young
- Creators
- J. E Pascoe
- Publication Details
- arXiv (Cornell University)
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021880197604721