Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space
Metric Geometry
2024-01-11 v1 Functional Analysis
Abstract
In this article, we consider the ball model of an infinite dimensional complex hyperbolic space, i.e. the open unit ball of a complex Hilbert space centered at the origin equipped with the Caratheodory metric. We consider the group of holomorphic automorphisms of the ball and classify the conjugacy classes of automorphisms. We also compute the centralizers for elements in the group of automorphisms.
Keywords
Cite
@article{arxiv.2401.04951,
title = {Conjugacy classes of automorphisms of the unit ball in a complex Hilbert space},
author = {Rachna Aggarwal and Krishnendu Gongopadhyay and Mukund Madhav Mishra},
journal= {arXiv preprint arXiv:2401.04951},
year = {2024}
}