Implicit functions from topological vector spaces to Banach spaces
Identifieur interne : 000B71 ( Main/Merge ); précédent : 000B70; suivant : 000B72Implicit functions from topological vector spaces to Banach spaces
Auteurs : Helge Glöckner [Allemagne]Source :
- Israel Journal of Mathematics [ 0021-2172 ] ; 2006-12-01.
Abstract
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.
Url:
DOI: 10.1007/BF02773955
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<front><div type="abstract" xml:lang="en">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.</div>
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