On Maharam polynomials

Kusraeva, Z. A. , Tasoev B. B.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.

Abstract:
A Radon-Nikodym type theorem is proved and the Maharam extension is constructed for positive orthogonally additive polynomials in vector lattices.

Keywords: vector lattice power, orthogonally additive polynomial, Maharam polynomial, Maharam extension, Radon-Nikodym theorem

The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses.