Publication

Positive polynomials on riesz spaces

Cruickshank, James
; 
Loane, John
; 
Ryan, Raymond A.
Identifiers
http://hdl.handle.net/10379/10967
 https://doi.org/10.13025/27226
Publication Date
2016-08-24
Keywords
riesz space, positive polynomial, finite difference, kantorovich extension theorem
Type
Article
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Citation
Cruickshank, James; Loane, John; Ryan, Raymond A. (2016). Positive polynomials on riesz spaces. Positivity 21 (3), 885-895
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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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)