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math.FA2024
Approximations of Lipschitz maps with maximal derivatives on Banach spaces
Geunsu Choi
We study two types of approximations of Lipschitz maps with derivatives of maximal slopes on Banach spaces. First, we characterize the Radon-Nikodým property in terms of strongly n…
math.FA2024
Linear structures of norm-attaining Lipschitz functions and their complements
Geunsu Choi, Mingu Jung, Han Ju Lee +1
We solve two main questions on linear structures of (non-)norm-attaining Lipschitz functions. First, we show that for every infinite metric space , the set consisting of Lipschi…