Curvature Inequalities and Extremal Operators
Functional Analysis
2019-11-13 v1
Abstract
A curvature inequality is established for contractive commuting tuples of operators in the Cowen-Douglas class of rank n. Properties of the extremal operators, that is, the operators which achieve equality, are investigated. Specifically, a substantial part of a well known question due to R. G. Douglas involving these extremal operators, in the case of the unit disc, is answered.
Cite
@article{arxiv.1802.01386,
title = {Curvature Inequalities and Extremal Operators},
author = {Gadadhar Misra and Md. Ramiz Reza},
journal= {arXiv preprint arXiv:1802.01386},
year = {2019}
}
Comments
19 pages