Implicit Functions from Topological Vector Spaces to Banach Spaces

Helge Glockner

arxiv: math/0303320 · v1 · submitted 2003-03-25 · 🧮 math.GM · math.DG· math.FA

Implicit Functions from Topological Vector Spaces to Banach Spaces

Helge Glockner This is my paper

classification 🧮 math.GM math.DGmath.FA

keywords spacesimplicittopologicalvectorbanachfunctionmappingstheorems

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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.

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Implicit Functions from Topological Vector Spaces to Banach Spaces

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