Implicit Functions from Topological Vector Spaces to Banach Spaces
General Mathematics
2007-05-23 v1 Differential Geometry
Functional Analysis
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.
Cite
@article{arxiv.math/0303320,
title = {Implicit Functions from Topological Vector Spaces to Banach Spaces},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:math/0303320},
year = {2007}
}
Comments
36 pages