Characterization of the Hilbert ball by its automorphism group

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dc.creatorKim, Kang-Tae
dc.creatorKrantz, Steven G.
dc.date2001-06-03
dc.date.accessioned2026-07-07T04:41:58Z
dc.date.available2026-07-07T04:41:58Z
dc.descriptionLet $Ω$ 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.
dc.identifierhttps://arxiv.org/abs/math/0106015
dc.identifierhttp://arxiv.org/abs/math/0106015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61578
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject32H02, 32H50
dc.titleCharacterization of the Hilbert ball by its automorphism group
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