Implicit functions from topological vector spaces to Banach spaces

被引:0
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作者
Helge Glöckner
机构
[1] FB Mathematik AG 5,TU Darmstadt
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关键词
Banach Space; Open Subset; Open Neighbourhood; Implicit Function Theorem; Topological Vector Space;
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学科分类号
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.
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页码:205 / 252
页数:47
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