Implicit Functions from Topological Vector Spaces to Banach Spaces
综合数学
2007-05-23 v1 微分几何
泛函分析
摘要
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.
引用
@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}
}
备注
36 pages