8 citations · 28 across the 49 of their papers we have counts for
5 papers · 1 filter
Free quasi-Banach lattices
Alberto Salguero-Alarcón, Pedro Tradacete, Nazaret Trejo-Arroyo
We study different versions of \emph{free objects} in the setting of quasi-Banach spaces and quasi-Banach lattices. Special attention is devoted to the free -convex -Banach l…
Free Banach -algebras
David Muñoz-Lahoz, Pedro Tradacete
We construct and analyze the free Banach -algebra generated by a Banach space , extending recent developments on free Banach lattices to the…
Minimizing measures for the doubling condition
Fernando Benito F. de la Cigoña, José M. Conde Alonso, Federico Cabrera Linares +1
We study those measures whose doubling constant is the least possible among doubling measures on a given metric space. It is shown that such measures exist on every complete metric…
Complemented subspaces of Banach lattices
David de Hevia, Pedro Tradacete
We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a -space w…
Norm-attaining lattice homomorphisms and renormings of Banach lattices
Eugene Bilokopytov, Enrique García-Sánchez, David de Hevia +2
A well-known theorem due to R. C. James states that a Banach space is reflexive if and only if every bounded linear functional attains its norm. In this note we study Banach lattic…