Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898005 | Linear Algebra and its Applications | 2018 | 26 Pages |
Abstract
This work extends the notion of operator monotonicity to symmetric functions f on k arguments. The latter is used to define (generated) k-isotropic mapsF:SnâS(nk) for any nâ¥k. Necessary and sufficient conditions are given for f to generate an operator monotone k-isotropic map F. When k=1, the k-isotropic map becomes a Löwner operator and when k=n it becomes a spectral function. This allows us to reconcile and explain the differences between the conditions for monotonicity for the Löwner operators and the spectral functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tianpei Jiang, Hristo Sendov,