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| dc.contributor.author | Schwanke, Christopher Michael
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| dc.date.accessioned | 2022-03-24T05:09:57Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We provide two new characterizations of bounded orthogonally additive polynomials from a uniformly complete vector lattice into a convex bornological space using separately two polynomial identities of Kusraeva involving the root mean power and the geometric mean. Furthermore, it is shown that a polynomial on a vector lattice is orthogonally additive whenever it is orthogonally additive on the positive cone. These results improve recent characterizations of bounded orthogonally additive polynomials by G. Buskes and the author. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2022-07-20 | |
| dc.description.librarian | hj2022 | en_ZA |
| dc.description.uri | https://www.tandfonline.com/loi/tqma20 | en_ZA |
| dc.identifier.citation | C. Schwanke (2022): Some notes on orthogonally additive polynomials, Quaestiones Mathematicae, 45:10, 1559-1565, DOI: 10.2989/16073606.2021.1953631. | en_ZA |
| dc.identifier.issn | 1607-3606 (print) | |
| dc.identifier.issn | 1727-933X (online) | |
| dc.identifier.other | 10.2989/16073606.2021.1953631 | |
| dc.identifier.uri | http://hdl.handle.net/2263/84582 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Taylor and Francis | en_ZA |
| dc.rights | © 2021 NISC (Pty) Ltd. This is an electronic version of an article published in Quaestiones Mathematicae, vol. 45, no. 10, pp. 1559-1565, 2022. doi : 10.2989/16073606.2021.1953631. Quaestiones Mathematicae is available online at: https://www.tandfonline.com/loi/tqma20. | en_ZA |
| dc.subject | Vector lattice | en_ZA |
| dc.subject | Orthogonally additive polynomial | en_ZA |
| dc.subject | Geometric mean | en_ZA |
| dc.subject | Root mean power | en_ZA |
| dc.title | Some notes on orthogonally additive polynomials | en_ZA |
| dc.type | Postprint Article | en_ZA |
