On the set of Gâteaux differentiability of the L¹ norm

2021/01/14 by Julio Delgado, Delgado, Julio, Andrés Felipe Muñoz Tello +1 · 1 citation
Mathematics · Computer Science · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2101.05887

Abstract

Let (Ω, M, μ) be a measure space. In this paper we establish the set of Gâteaux differentiability for the usual norm of L¹(Ω, μ) and the corresponding derivative formulae at each point in this set.

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