Finitely additive measures and complementability of Lipschitz-free spaces
Functional Analysis
2019-05-03 v2
Abstract
We prove in particular that the Lipschitz-free space over a finitely-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is . As a tool to obtain the main result we establish several facts on the structure of finitely additive measures on finitely-dimensional spaces.
Cite
@article{arxiv.1703.08384,
title = {Finitely additive measures and complementability of Lipschitz-free spaces},
author = {Marek Cúth and Ondřej F. K. Kalenda and Petr Kaplický},
journal= {arXiv preprint arXiv:1703.08384},
year = {2019}
}
Comments
24 pages; we corrected some misprints, reorganized a bit the introduction and added few comments (in particular one on the Leray projection)