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Implicit functions from topological vector spaces to Banach spaces

Identifieur interne : 002290 ( Istex/Corpus ); précédent : 002289; suivant : 002291

Implicit functions from topological vector spaces to Banach spaces

Auteurs : Helge Glöckner

Source :

RBID : ISTEX:AA01A92C7CBF2868D594F9E565A6938F9E57EC5B

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

Links to Exploration step

ISTEX:AA01A92C7CBF2868D594F9E565A6938F9E57EC5B

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