8 citations · 28 across the 49 of their papers we have counts for
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Free Banach lattices
T. Oikhberg, M. A. Taylor, P. Tradacete +1
We investigate the structure of the free -convex Banach lattice over a Banach space . After recalling why such a free lattice exists, and giving a convenient f…
Free dual spaces and free Banach lattices
Enrique García-Sánchez, Pedro Tradacete
The relation between the free Banach lattice generated by a Banach space and free dual spaces is clarified. In particular, it is shown that for every Banach space the free -…
Compact spaces associated to separable Banach lattices
Antonio Avilés, Gonzalo Martínez Cervantes, Abraham Rueda Zoca +1
We study the class of compact spaces that appear as structure spaces of separable Banach lattices. In other words, we analyze what spaces appear as principal ideals of separ…
Free complex Banach lattices
David de Hevia, Pedro Tradacete
The construction of the free Banach lattice generated by a real Banach space is extended to the complex setting. It is shown that for every complex Banach space there is a comp…
Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
We prove that if is an infinite complete metric space then the set of strongly norm-attaining Lipschitz functions $\SA(M)$ contains a linear subspace isomorphic to . This…