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math.FA2026
On the sequential monotone closure of spaces
Sukrit Chalana, Denny H. Leung, Foivos Xanthos
In this short note, we settle a problem posed by Wickstead in ~\cite{W:24}, arising from the study of the Riesz completion of spaces of regular operators between Banach lattices.
math.FA2026
Banach lattices with upper -estimates: Renorming and factorization
Enrique GarcÃa-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…
math.FA2024
Banach lattices with upper -estimates: free and injective objects
E. GarcÃa-Sánchez, D. H. Leung, M. A. Taylor +1
We study the free Banach lattice with upper -estimates generated by a Banach space . Using a classical result of Pisier on factorization through $L^{p,\…