Characterization of the Hilbert ball by its automorphisms
SCIE
SCOPUS
KCI
- Title
- Characterization of the Hilbert ball by its automorphisms
- Authors
- Kim, KT; Ma, DW
- Date Issued
- 2003-05
- Publisher
- KOREAN MATHEMATICAL SOCIETY
- Abstract
- We show in this paper that every domain in a separable Hilbert space, say R, which has a C-2 smooth strongly pseudoconvex boundary point at which an automorphism orbit accumulates is biholomorphic to the unit ball of R. 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 [16] and subsequent improvement of Byun/Gaussier/Kim [3] in the infinite dimensions.
- Keywords
- automorphism group; Hilbert ball; weak-strong normal family; DOMAINS; CN
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29710
- DOI
- 10.4134/JKMS.2003.40.3.503
- ISSN
- 0304-9914
- Article Type
- Article
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol. 40, no. 3, page. 503 - 516, 2003-05
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