Fixed points and normal automorphisms of the unit ball of bounded operators on $\mathbb{C}^n$
Functional Analysis
2023-03-08 v4 Metric Geometry
Abstract
We examine the group of isometries of the open unit ball of a complex Banach space of certain bounded linear operators equipped with the Carath\'eodory metric. Therein we obtain a charactrization of the normal isometries in terms of their special type of fixed points.
Cite
@article{arxiv.2210.16759,
title = {Fixed points and normal automorphisms of the unit ball of bounded operators on $\mathbb{C}^n$},
author = {Rachna Aggarwal and Krishnendu Gongopadhyay and Mukund Madhav Mishra},
journal= {arXiv preprint arXiv:2210.16759},
year = {2023}
}