Operator monotone functions and Löwner functions of several variables

Details Operator monotone functions and Löwner functions of several variables Operator monotone functions and Löwner functions of several variables

2010-09-20

arxiv.org/abs/1009.3921v2

Mathematics

Functional Analysis

Scientific paper

We prove generalizations of L\"owner's results on matrix monotone functions to several variables. We give a characterization of when a function of $d$ variables is locally monotone on $d$-tuples of commuting self-adjoint $n$-by-$n$ matrices. We prove a generalization to several variables of Nevanlinna's theorem describing analytic functions that map the upper half-plane to itself and satisfy a growth condition. We use this to characterize all rational functions of two variables that are operator monotone.

Affiliated with

Also associated with

No associations

Rating

Operator monotone functions and Löwner functions of several variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Operator monotone functions and Löwner functions of several variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operator monotone functions and Löwner functions of several variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265768