Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Abstract
We prove that if M is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions (M) contains a linear subspace isomorphic to c0. This solves an open question posed by V. Kadets and O. Rold\'an.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.