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24 papers
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…
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…
Linear versus lattice embeddings between Banach lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, Abraham Rueda Zoca +1
A well-known classical result states that is linearly embeddable in a Banach lattice if and only if it is lattice embeddable. Improving results of H.P.~Lotz, H.P.~Rosenthal a…
On the condition for elliptic operators in 1-sided NTA domains satisfying the capacity density condition
Mingming Cao, Óscar Domínguez, José María Martell +1
Let , , be a 1-sided non-tangentially accessible domain (i.e., quantitatively open and path-connected) satisfiying the capacity density condition…
Free Banach lattices under convexity conditions
Héctor Jardón-Sánchez, Niels Jakob Laustsen, Mitchell A. Taylor +2
We prove the existence of free objects in certain subcategories of Banach lattices, including -convex Banach lattices, Banach lattices with upper -estimates, and AM-spaces. F…
A Godefroy-Kalton principle for free Banach lattices
Antonio Avilés, Gonzalo Martínez-Cervantes, José Rodríguez +1
Motivated by the Lipschitz-lifting property of Banach spaces introduced by Godefroy and Kalton, we consider the lattice-lifting property, which is an analogous notion within the ca…