Implicit Functions from Topological Vector Spaces to Banach Spaces

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We prove implicit function theorems for mappings on topological vector spaces over valued fields. In the real and complex cases, we obtain implicit function theorems for mappings from arbitrary (not necessarily locally convex) topological vector spaces to Banach spaces.
36 pages

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General Mathematics, Differential Geometry, Functional Analysis, 58C15 (Primary) 26E15, 26E30, 46G05, 46T10, 47J07, 58C20 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66902

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303320
 http://arxiv.org/abs/math/0303320

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arXiv