3 papers
math.FA2025
Polyhedrality for twisted sums with
Jesús M. F. Castillo, Alberto Salguero Alarcón
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 t…
math.FA2022
Twisted sums of
Jesús M. F. Castillo, Alberto Salguero Alarcón
The paper studies properties of twisted sums of a Banach space with . We first prove a representation theorem for such twisted sums from which we will obtain, among oth…
math.FA2021
The complemented subspace problem for -spaces: A counterexample
Grzegorz Plebanek, Alberto Salguero Alarcón
We prove that there is a compact space and a 1-complemented subspace of the Banach space which is not isomorphic to a space of continuous functions.