Differentiation of the inverse mapping

Grunau, John

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Differentiation of the inverse mapping

Date

1976

Authors

Grunau, John

Abstract

This thesis contains two results. Firstly, we characterize locally convex spaces in which the theorem on the differentiability of the inverse mapping holds. Secondly, we characterize locally convex spaces in which every differentiable map is sequentially continuous . Throughout, differentiability is the one defined by uniform convergence on bounded sets.