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http://dx.doi.org/10.4134/JKMS.2003.40.3.503

CHARACTERIZATION OF THE HILBERT BALL BY ITS AUTOMORPHISMS  

Kim, Kang-Tae (Department of Mathematics Pohang University of Science and Technology)
Ma, Daowei (Department of Mathematics Wichita State University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 503-516 More about this Journal
Abstract
We show in this paper that every domain in a separable Hilbert space, say H, which has a $C^2$ smooth strongly pseudoconvex boundary point at which an automorphism orbit accumulates is biholomorphic to the unit ball of H. 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 [10] and subsequent improvement of Byun/Gaussier/Kim [3] in the infinite dimensions.
Keywords
automorphism group; Hilbert ball; weak-strong normal family;
Citations & Related Records

Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 3
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