Xing-Wang Jiang

activity

20162021

most citedOrder Integrals

5 citations · 14 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2021★ 2 cited

Spectral theorems for positive algebra homomorphisms

Marcel de Jeu, Xingni Jiang

Let $X$ be a locally compact Hausdorff space, let $A$ be a partially ordered algebra, and let $π : C_{c} (X) \to A$ be a positive algebra homomorphism. Under con…

math.FA2021★ 5 cited

Riesz representation theorems for positive linear operators

Marcel de Jeu, Xingni Jiang

We generalise the Riesz representation theorems for positive linear functionals on $C_{c} (X)$ and $C_{0} (X)$ , where $X$ is a locally compact Hausd…

math.FA2021★ 5 cited

Order Integrals

Marcel de Jeu, Xingni Jiang

We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space $E$ . The monotone c…

math.NT2019

A note on the lower bound of representation functions

Xing-Wang Jiang, Csaba Sandor, Quan-Hui Yang

For a set $A$ of nonnegative integers, let $R_{2} (A, n)$ denote the number of solutions to $n = a + a^{'}$ with $a, a^{'} \in A$ , $a < a^{'}$ . Let $A_{0}$ be the Thue-Morse sequence and $B_0=\mathbb{N}\…

math.NT2019

On the values of representation functions II

Xing-Wang Jiang, Csaba Sandor, Quan-Hui Yang

For a set $A$ of nonnegative integers, let $R_{2} (A, n)$ and $R_{3} (A, n)$ denote the number of solutions to $n = a + a^{'}$ with $a, a^{'} \in A$ , $a < a^{'}$ and $a \leq a^{'}$ , respectively. In this paper…

math.FA2016★ 2 cited

Simultaneous power factorization in modules over Banach algebras

Marcel de Jeu, Xingni Jiang

Let $A$ be a Banach algebra with a bounded left approximate identity ${e_{λ}}_{λ \in Λ}$ , let $π$ be a continuous representation of $A$ on a Banach space $X$ , and let $S$ be a non-em…