13 papers
Banach lattices and phase retrieval: A case study for the use of AI in mathematics
Jaume de Dios Pont, Lukas Liehr, David Muñoz-Lahoz +2
The ability of large language models to assist professional mathematicians has been progressing rapidly. Earlier this year, a group of researchers in Banach lattice theory and phas…
Measure-valued valuations on star bodies
Jorge S. Ibáñez-Marcos, Monika Ludwig, Pedro Tradacete +1
A complete classification of weak~continuous, measure-valued valuations is established on star bodies in . Consequences are an integral representation of rotation equivar…
Free Products of Banach Lattices
Gonzalo MartÃnez-Fernández, Pedro Tradacete
We study free products, that is, coproducts, in the category of Banach lattices and contractive lattice homomorphisms. We give a concrete construction of the free product of an arb…
On the free Banach lattice generated by a lattice
Asma Ben Rjeb, Pedro Tradacete
We study structural properties of the free Banach lattice generated by a distributive lattice . We characterize when has a strong uni…
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…
Coordinate systems in Banach spaces and lattices
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding differen…