$C(K)$-spaces with few operators relative to posets
Functional Analysis
2025-12-01 v1
Abstract
Extending a method developed by Koszmider and Laustsen for constructing -spaces we produce families of -spaces with few operators relative to a partially ordered set . Using these spaces, we construct new -spaces whose closed operator ideals can be completely classified. Additionally, we use these spaces to resolve some questions regarding automatic continuity.
Cite
@article{arxiv.2511.22339,
title = {$C(K)$-spaces with few operators relative to posets},
author = {Antonio Acuaviva},
journal= {arXiv preprint arXiv:2511.22339},
year = {2025}
}