M. A. Taylor

activity

20172022

most citedNo pure capillary solitary waves exist in 2D finite depth

1 citations · 1 across the 2 of their papers we have counts for

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6 papers · 1 filter

math.FA2022

Stable phase retrieval in function spaces

D. Freeman, T. Oikhberg, B. Pineau +1

Let $(Ω, Σ, μ)$ be a measure space, and $1 \leq p \leq \infty$ . A subspace $E \subseteq L_{p} (μ)$ is said to do stable phase retrieval (SPR) if there exists a constant $C \geq 1$ such that…

math.FA2022

Free Banach lattices

T. Oikhberg, M. A. Taylor, P. Tradacete +1

We investigate the structure of the free $p$ -convex Banach lattice $F B L^{(p)} [E]$ over a Banach space $E$ . After recalling why such a free lattice exists, and giving a convenient f…

math.FA2021

Free Banach lattices under convexity conditions

Héctor Jardón-Sánchez, Niels Jakob Laustsen, Mitchell A. Taylor +2

We prove the existence of free objects in certain subcategories of Banach lattices, including $p$ -convex Banach lattices, Banach lattices with upper $p$ -estimates, and AM-spaces. F…

math.FA2020

A Schauder basis for $L_{2}$ consisting of non-negative functions

Daniel Freeman, Alexander M. Powell, Mitchell A. Taylor

We prove that $L_{2} (R)$ contains a Schauder basis of non-negative functions. Similarly, $L_{p} (R)$ contains a Schauder basic sequence of non-negative functions such…

math.FA2017

Metrizability of minimal and unbounded topologies

Marko Kandić, Mitchell A. Taylor

In 1987, I. Labuda proved a general representation theorem that, as a special case, shows that the topology of local convergence in measure is the minimal topology on Orlicz spaces…

math.FA2017

Completeness of Unbounded Convergences

Mitchell A. Taylor

As a generalization of almost everywhere convergence to vector lattices, unbounded order convergence has garnered much attention. The concept of boundedly uo-complete Banach lattic…