4 citations · 6 across the 7 of their papers we have counts for
14 papers
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…
Aliprantis's questions on locally solid topologies
David Muñoz-Lahoz, Mitchell A. Taylor, Pedro Tradacete
In 1974, C. D. Aliprantis posed several questions concerning topological completions of locally solid vector lattices. We answer all of them in the negative. We construct Hausdorff…
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: free and injective objects
E. García-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,\…
Stable phase retrieval in function spaces
D. Freeman, T. Oikhberg, B. Pineau +1
Let be a measure space, and . A subspace is said to do stable phase retrieval (SPR) if there exists a constant such that…
Free Banach lattices
T. Oikhberg, M. A. Taylor, P. Tradacete +1
We investigate the structure of the free -convex Banach lattice over a Banach space . After recalling why such a free lattice exists, and giving a convenient f…