Positive Polynomials on Riesz Spaces

Positive Polynomials on Riesz Spaces

We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear. And we prove a polynomial version of the Kantorovich extension theorem.

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Bibliographic Details
Main Authors: Cruickshank, James, Loane, John, Ryan, Raymond A
Format: Journal Article
Language:English
Published: 17-08-2015
Subjects:
Mathematics - Functional Analysis
Online Access:Get full text
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Description
Summary:We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear. And we prove a polynomial version of the Kantorovich extension theorem.
DOI:10.48550/arxiv.1508.04082