3 papers
math.FA2022
On the category of quotient Banach spaces after Wegner
Félix Cabello Sánchez, José Navarro Garmendia
We study Waelbroeck's category of Banach quotients after Wegner, focusing on its basic homological and functional analytic properties.
math.FA2021
Corrigendum to "On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces"
Javier Cabello Sánchez, José Navarro Garmendia
In this note we correct a paper by D. Kang ("On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces", Filomat, 2017). The research in that paper applies to what th…
math.FA2020
Voidness of strict convexity in non-Archimedean fuzzy normed spaces
Javier Cabello Sánchez, José Navarro Garmendia
In this short note, we show by elementary computations that the notion of non-Archimedean fuzzy normed (and 2-normed) spaces is void. Namely, there are no strictly convex spaces at…