Characterization of the Hilbert ball by its Automorphisms

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dc.creatorKim, Kang-Tae
dc.creatorMa, Daowei
dc.date2002-12-02
dc.date.accessioned2026-07-07T04:53:27Z
dc.date.available2026-07-07T04:53:27Z
dc.descriptionWe show in this paper that every domain in a separable Hilbert space, say $\cH$, which has a $C^2$ smooth strongly pseudoconvex boundary point at which an automorphism orbit accumulates is biholomorphic to the unit ball of $\cH$. 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0212023
dc.identifierhttp://arxiv.org/abs/math/0212023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65858
dc.subjectComplex Variables
dc.subject32M05
dc.titleCharacterization of the Hilbert ball by its Automorphisms
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