An implicit function theorem for Banach spaces and some applications

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dc.creatorAn, Jinpeng
dc.creatorNeeb, Karl-Hermann
dc.date2007-03-23
dc.date.accessioned2026-07-07T07:53:51Z
dc.date.available2026-07-07T07:53:51Z
dc.descriptionWe prove a generalized implicit function theorem for Banach spaces, without the usual assumption that the subspaces involved being complemented. Then we apply it to the problem of parametrization of fibers of differentiable maps, the Lie subgroup problem for Banach-Lie groups, as well as Weil's local rigidity for homomorphisms from finitely generated groups to Banach-Lie groups.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0703710
dc.identifierhttp://arxiv.org/abs/math/0703710
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126381
dc.subjectGroup Theory
dc.subjectFunctional Analysis
dc.subject22E65; 57N20
dc.titleAn implicit function theorem for Banach spaces and some applications
dc.typetext

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