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Polynomials on Riesz spaces |
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| Authors: | John Loane |
| Institution: | Department of Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | In this paper we investigate polynomial mappings on Riesz spaces. We give a characterization of positivity of homogeneous polynomials in terms of forward differences. Finally we prove Hahn-Banach type extension theorems for positive and regular polynomial mappings. |
| Keywords: | Polynomial Riesz space Positive mapping |
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