Implicit Functions from Topological Vector Spaces to Banach Spaces

Helge Glockner

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Implicit Functions from Topological Vector Spaces to Banach Spaces

Helge Glockner

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Abstract

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.

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Helge Glockner. 2003-03-25. Implicit Functions from Topological Vector Spaces to Banach Spaces. https://arxiv.org/abs/math/0303320

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