Polyhedrality for twisted sums with $C(\omega^\alpha)$
Functional Analysis
2025-03-12 v2
Abstract
We obtain two partial answers to the 3-space problem for isomorphic polyhedrality: (1) every twisted sum of , , with a separable isomorphically polyhedral space with the BAP, is isomorphically polyhedral. (2) Every twisted sum of and a Banach space having a boundary with property has a boundary with property , hence it is isomorphically polyhedral.
Keywords
Cite
@article{arxiv.2502.17001,
title = {Polyhedrality for twisted sums with $C(\omega^\alpha)$},
author = {Jesús M. F. Castillo and Alberto Salguero Alarcón},
journal= {arXiv preprint arXiv:2502.17001},
year = {2025}
}