3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.CA2024
On sets where lip(f) is infinite for monotone continuous functions
Martin Rmoutil, Thomas Zürcher
Given an F-sigma-delta subset A of the real line R of Lebesgue measure zero, we construct a monotone absolutely continuous function f from R to R such that the little Lipschitz con…
math.GN2017
Restricting uniformly open surjections
Tomasz Kania, Martin Rmoutil
We employ the theory of elementary submodels to improve a recent result by Aron, Jaramillo and Le Donne (Ann. Acad. Sci. Fenn. Math., to appear) concerning restricting uniformly op…
math.FA2015★ 3 cited
Norm-attaining functionals and proximinal subspaces
Martin Rmoutil
G. Godefroy asked whether, on any Banach space, the set of norm-attaining functionals contains a 2-dimensional linear subspace. We prove that a recent construction due to C.J. Read…