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math.FA2026
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…
math.FA2026
On the existence of large subspaces of that perform stable phase retrieval
Enrique GarcÃa-Sánchez, David de Hevia, Mitchell Taylor
The purpose of this article is to address an open problem posed by Freeman-Oikhberg-Pineau-T.~(\textit{Math.~Ann.}~2024) regarding the existence of large subspaces of that p…
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…