Z. A. Kusraeva, B. B. Tasoev, “On Maharam polynomials”, Vladikavkaz. Mat. Zh., 2012, Volume 14, Number 4,Pages <nobr>45

On Maharam polynomials

Z. A. Kusraeva^a, B. B. Tasoev^ab

^a South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
^b North-Ossetia State University, Faculty of Mathematics, Russia, Vladikavkaz

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

Key words: vector lattice power, orthogonally additive polynomial, Maharam polynomial, Maharam extension, Radon–Nikodým theorem.

UDC: 517.98

Received: 30.08.2012