Typical Lipschitz mappings are typically non-differentiable (2111.09644v2)

Published 18 Nov 2021 in math.FA

Abstract: We prove that a typical Lipschitz mapping between any two Banach spaces is non-differentiable at typical points of any given subset of its domain in the most extreme form. This is a new result even for Lipschitz mappings between Euclidean spaces.

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