Rademacher Theorem for Fréchet spaces

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Abstract

Let X be a separable Fréchet space. In this paper we define a class A of null sets in X that is properly contained in the class of Aronszajn null sets, and we prove that a Lipschitz map from an open subset of X into a Gelfand-Fréchet space is Gateaux differentiable outside a set belonging to A.
Original languageEnglish
Pages (from-to)263-275
Number of pages13
JournalQuaestiones Mathematicae
Volume33
Publication statusPublished - 2010

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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