Mitchell A. Taylor

collaborators

4 papers

math.FA2026

Coordinate systems in Banach spaces and lattices

Antonio AvilÃ©s, 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 $C (K)$ that perform stable phase retrieval

Enrique GarcÃa-SÃ¡nchez, 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 $C (K)$ that p…

math.FA2026

Banach lattices with upper $p$ -estimates: Renorming and factorization

Enrique GarcÃa-SÃ¡nchez, Denny H. Leung, Mitchell A. Taylor +1

The notions of $p$ -convexity and concavity are fundamental tools for studying Banach lattices, as they partition the class of Banach lattices into a scale of spaces with $L_{p}$ -like…

math.SP2025

Sharp bounds on the failure of the hot spots conjecture

Jaume de Dios Pont, Alexander W. Hsu, Mitchell A. Taylor

The hot spots ratio of a domain $I^c ◯ \subset R^{d}$ measures the degree of failure of Rauch's hot spots conjecture on that domain. We identify the largest possible value of th…

Coordinate systems in Banach spaces and lattices

On the existence of large subspaces of C(K) that perform stable phase retrieval

Banach lattices with upper p-estimates: Renorming and factorization

Sharp bounds on the failure of the hot spots conjecture

On the existence of large subspaces of $C (K)$ that perform stable phase retrieval

Banach lattices with upper $p$ -estimates: Renorming and factorization