Characterization of the Hilbert ball by its automorphism group
SCIE
SCOPUS
- Title
- Characterization of the Hilbert ball by its automorphism group
- Authors
- Kim, KT; Krantz, SG
- Date Issued
- 2002-01
- Publisher
- AMER MATHEMATICAL SOC
- Abstract
- Let Omega be a bounded, convex domain in a separable Hilbert space. The authors prove a version of the theorem of Bun Wong, which asserts that if such a domain admits an automorphism orbit accumulating at a strongly pseudoconvex boundary point, then it is biholomorphic to the ball. Key ingredients in the proof are a new localization argument using holomorphic peaking functions and the use of new "normal families" arguments in the construction of the limit biholomorphism.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/12971
- DOI
- 10.1090/S0002-9947-02-02895-7
- ISSN
- 0002-9947
- Article Type
- Article
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 354, no. 7, page. 2797 - 2818, 2002-01
- Files in This Item:
-
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.