Local automorphisms of the Hilbert ball

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dc.creatorLamel, Bernhard
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:51Z
dc.date.available2026-07-07T07:36:51Z
dc.descriptionWe prove an analogue of Alexander's Theorem for holomorphic mappings of the unit ball in a complex Hilbert space: Every holomorphic mapping which takes a piece of the boundary of the unit ball into the boundary of the unit ball and whose differential at some point of this boundary is onto is the restriction of an automorphism of the ball. We also show that it is enough to assume that the mapping is only Gateaux-holomorphic.
dc.identifierhttps://arxiv.org/abs/math/0612688
dc.identifierhttp://arxiv.org/abs/math/0612688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120571
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject32H12, 46G20, 46T25, 58C10
dc.titleLocal automorphisms of the Hilbert ball
dc.typetext

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