9 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
Every non-smooth -dimensional Banach space has the Mazur-Ulam property
Taras Banakh, Javier Cabello Sánchez
A Banach space has the - if any isometry from the unit sphere of onto the unit sphere of any other Banach space extends to a linear isometry of…
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…
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…
Quiz your maths: do the uniformly continuous functions on the line form a ring?
Félix Cabello Sánchez, Javier Cabello Sánchez
The paper deals with the interplay between boundedness, order and ring structures in function lattices on the line and related metric spaces. It is shown that the lattice of all Li…
When is U(X) a ring?
Javier Cabello Sánchez
In this short paper, we will show that the space of real valued uniformly continuous functions defined on a metric space is a ring if and only if every subset …