Analytic Mappings Between LB-spaces and Applications in Infinite-Dimensional Lie Theory

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dc.creatorDahmen, Rafael
dc.date2008-07-23
dc.date2008-07-28
dc.date.accessioned2026-07-07T09:52:48Z
dc.date.available2026-07-07T09:52:48Z
dc.descriptionWe give a sufficient criterion for complex analyticity of nonlinear maps defined on direct limits of normed spaces. This tool is then used to construct new classes of (real and complex) infinite dimensional Lie groups: (a) groups of germs of analytic diffeomorphisms around a compact set in a Banach space and (b) unions of ascending sequences of Banach Lie groups.
dc.identifierhttps://arxiv.org/abs/0807.3655
dc.identifierhttp://arxiv.org/abs/0807.3655
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165725
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.titleAnalytic Mappings Between LB-spaces and Applications in Infinite-Dimensional Lie Theory
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