A counterexample to the complemented subspace problem in Banach lattices
D de Hevia, G Martínez-Cervantes… - arxiv preprint arxiv …, 2023 - arxiv.org
arxiv:2310.02196v1 [math.FA] 3 Oct 2023 Page 1 arxiv:2310.02196v1 [math.FA] 3 Oct 2023
A COUNTEREXAMPLE TO THE COMPLEMENTED SUBSPACE PROBLEM IN BANACH …
A COUNTEREXAMPLE TO THE COMPLEMENTED SUBSPACE PROBLEM IN BANACH …
Homological dimensions of Banach spaces
FC Sánchez, JMF Castillo, R García - arxiv preprint arxiv:1908.06526, 2019 - arxiv.org
The purpose of this paper is to lay the foundations for the study of the problem of when
$\Ext^ n (X, Y)= 0$ in Banach/quasi-Banach spaces. We provide a number of examples of …
$\Ext^ n (X, Y)= 0$ in Banach/quasi-Banach spaces. We provide a number of examples of …
[HTML][HTML] Sailing over three problems of Koszmider
FC Sánchez, JMF Castillo, W Marciszewski… - Journal of Functional …, 2020 - Elsevier
We discuss three problems of Koszmider on the structure of the spaces of continuous
functions on the Stone compact KA generated by an almost disjoint family A of infinite …
functions on the Stone compact KA generated by an almost disjoint family A of infinite …
Twisted sums of c0(I)
JMF Castillo, A Salguero Alarcón - Quaestiones Mathematicae, 2023 - Taylor & Francis
We study in this paper a few remarkable properties of twisted sums Z (κ, X) of c 0 (κ) and a
Banach space X. We first prove a representation theorem for such twisted sums from which …
Banach space X. We first prove a representation theorem for such twisted sums from which …
[HTML][HTML] Twisted sums of c0 and C (K)-spaces: a solution to the CCKY problem
We consider the class of Banach spaces Y for which c 0 admits a nontrivial twisted sum with
Y. We present a characterization of such spaces Y in terms of properties of the weak⁎ …
Y. We present a characterization of such spaces Y in terms of properties of the weak⁎ …
Countable discrete extensions of compact lines
M Korpalski, G Plebanek - arxiv preprint arxiv:2305.04565, 2023 - arxiv.org
We consider a separable compact line $ K $ and its extension $ L $ consisting of $ K $ and a
countable number of isolated points. The main object of study is the existence of a bounded …
countable number of isolated points. The main object of study is the existence of a bounded …
[HTML][HTML] On the three space property for C (K)-spaces
On the three space property for C(K)-spaces - ScienceDirect Skip to main contentSkip to
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article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …
Barely alternating real almost chains and extension operators for compact lines
A Avilés, M Korpalski - Revista de la Real Academia de Ciencias Exactas …, 2024 - Springer
Assume MA (κ). We show that for every real chain of size κ in the quotient Boolean algebra P
(ω)/fin we can find an almost chain of representatives such that every n∈ ω oscillates at …
(ω)/fin we can find an almost chain of representatives such that every n∈ ω oscillates at …
On Weak-Extensible Subspaces of Banach Spaces
G Martínez-Cervantes, J Rodríguez - Mediterranean Journal of …, 2022 - Springer
Let X be a Banach space and Y⊆ X be a closed subspace. We prove that if the quotient X/Y
is weakly Lindelöf determined or weak Asplund, then for every w∗-convergent sequence …
is weakly Lindelöf determined or weak Asplund, then for every w∗-convergent sequence …
Local extension property for finite height spaces
We introduce a new technique for the study of the local extension property (LEP) for boolean
algebras and we use it to show that the clopen algebra of every compact Hausdorff space …
algebras and we use it to show that the clopen algebra of every compact Hausdorff space …