Characterization of the Hilbert ball by its Automorphisms
Complex Variables
2007-05-23 v1
Abstract
We show in this paper that every domain in a separable Hilbert space, say , which has a smooth strongly pseudoconvex boundary point at which an automorphism orbit accumulates is biholomorphic to the unit ball of . This is the complete generalization of the Wong-Rosay theorem to a separable Hilbert space of infinite dimension. Our work here is an improvement from the preceding work of Kim/Krantz [KIK] and subsequent improvement of Byun/Gaussier/Kim [BGK] in the infinite dimensions.
Cite
@article{arxiv.math/0212023,
title = {Characterization of the Hilbert ball by its Automorphisms},
author = {Kang-Tae Kim and Daowei Ma},
journal= {arXiv preprint arXiv:math/0212023},
year = {2007}
}
Comments
13 pages