Implicit Functions from Topological Vector Spaces to Banach Spaces

By Helge Glöckner. 2003

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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.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a9f1f70ad294e89e20bdede71113dd15d3915fd