Positive Polynomials on Riesz Spaces

Raymond A. Ryan

Positive Polynomials on Riesz Spaces

Raymond A. Ryan

Mathematics

Research output: Other contribution (Published) › Other contribution

Abstract

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.

Original language	English (Ireland)
Media of output	Electronic Article
Publication status	Published - 1 Jan 2015

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title = "Positive Polynomials on Riesz Spaces",

abstract = "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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AB - 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.

M3 - Other contribution

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Positive Polynomials on Riesz Spaces

Abstract

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