M. A. Taylor

activity

20172026

p

-estimates: free and injective objects

4 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2022Show all

3 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.CA2022★ 1 cited

Examples of Hölder-stable Phase Retrieval

Michael Christ, Ben Pineau, Mitchell A. Taylor

Examples are constructed of infinite-dimensional subspaces $V \subset L^{2} (μ)$ with the property that for any $f, g \in V$ , if $∣ f ∣$ is approximately equal to $∣ g ∣$ with respect to the…