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On the set of Gâteaux differentiability of the $L^1$ norm

Published 14 Jan 2021 in math.FA | (2101.05887v1)

Abstract: Let $(\Omega, \mathcal{M}, \mu)$ be a measure space. In this paper we establish the set of G^ateaux differentiability for the usual norm of $L{1}(\Omega, \mu)$ and the corresponding derivative formulae at each point in this set.

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