The behaviour of quasi-linear maps on $C(K)$-spaces
Functional Analysis
2026-02-20 v1
Abstract
In this paper we combine topological and functional analysis methods to prove that a non-locally trivial quasi-linear map defined on a must be nontrivial on a subspace isomorphic to . We conclude the paper with a few examples showing that the result is optimal, and providing an application to the existence of nontrivial twisted sums of and .
Cite
@article{arxiv.2602.17432,
title = {The behaviour of quasi-linear maps on $C(K)$-spaces},
author = {Félix Cabello Sánchez and Jesús M. F. Castillo and Alberto Salguero-Alarcón},
journal= {arXiv preprint arXiv:2602.17432},
year = {2026}
}
Comments
6 pages