Alan Stoneham

activity

20132023

A C (σ)

4 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.FA2023

Tietze type extensions for absolutely continuous functions in the plane

Ian Doust, Alan Stoneham

It is an open problem whether one can always extend an absolutely continuous function (in the sense of Ashton and Doust) on a compact subset of the plane to a larger compact set. I…

math.FA2022

Constructing Well-bounded Operators not of type (B) on a Class of Inductive Limits

Alan Stoneham

Well-bounded operators are linear operators on a Banach space $X$ that have an $A C [a, b]$ functional calculus for some interval $[a, b]$ . A well-bounded operator is of type (B) if it…

math.FA2022

The Banach algebras $A C (σ)$ and $B V (σ)$

Ian Doust, Michael Leinert, Alan Stoneham

The spaces $B V (σ)$ and $A C (σ)$ were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators a…

math.MG2021★ 1 cited

A problem on distance matrices of subsets of the Hamming cube

Ian Doust, Reinhard Wolf

Let $D$ denote the distance matrix for an $n + 1$ point metric space $(X, d)$ . In the case that $X$ is an unweighted metric tree, the sum of the entries in $D^{- 1}$ is always equal to…

math.FA2020

Distance matrices of subsets of the Hamming cube

Ian Doust, Gavin Robertson, Alan Stoneham +1

Graham and Winkler derived a formula for the determinant of the distance matrix of a full-dimensional set of $n + 1$ points ${x_{0}, x_{1}, \dots, x_{n}}$ in the Hamming cube…

math.FA2013★ 4 cited

Approximation in $A C (σ)$