On the continuation of locally operator monotone functions
Functional Analysis
2013-01-09 v1 Complex Variables
Abstract
We generalize the phenomenon of continuation from complex anal- ysis to locally operator monotone functions. Along the lines of the egde-of- the-wedge theorem, we prove continuations exist dependent only on geometric features of the domain and, namely, independent of the function values. We prove a generalization of the Julia inequality for a class of functions containing locally operator monotone functions, Pick functions.
Keywords
Cite
@article{arxiv.1301.1366,
title = {On the continuation of locally operator monotone functions},
author = {J. E. Pascoe},
journal= {arXiv preprint arXiv:1301.1366},
year = {2013}
}