1 citations · 1 across the 23 of their papers we have counts for
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Order closure, order adherence and Fatou norms
A. Avilés, M. A. Taylor, P. Tradacete
We record two results in the theory of vector and Banach lattices related to order adherence. First, we give a negative answer to Gao and Leung's question on whether the -adher…
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…
Free Products of Banach Lattices
Gonzalo Martínez-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…
A Classification of Order Convergence via a Transfinite Fatou Hierarchy
Antonio Avilés, Christian Rosendal, Mitchell A. Taylor +1
We investigate the descriptive complexity of order convergence in separable Banach lattices. While uniform convergence is Borel and -order convergence is known to be ${\bf Δ}^1_…
Banach lattices with upper -estimates: Renorming and factorization
Enrique García-Sánchez, Denny H. Leung, Mitchell A. Taylor +1
The notions of -convexity and concavity are fundamental tools for studying Banach lattices, as they partition the class of Banach lattices into a scale of spaces with -like…