논문KCI 등재
Characterization of the Hilbert ball by its Automorphisms
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Abstract
We show in this paper that every domain in a separable Hilbertspace, say cH, which has a C^2 smooth strongly pseudoconvexboundary point at which an automorphism orbit accumulates isbiholomorphic to the unit ball of cH. This is the completegeneralization of the Wong-Rosay theorem to a separable Hilbertspace of infinite dimension. Our work here is an improvement fromthe preceding work of Kim/Krantz [10] and subsequent improvementof Byun/Gaussier/Kim [3] in the infinite dimensions.
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