×

zbMATH — the first resource for mathematics

A generalized moment problem in vector lattices. (English) Zbl 1006.28011
A moment problem is presented in the context of vector lattices. Let \(Y\) be a (Dedekind) complete vector lattice and \(y_n\) a sequence of elements in \(Y\). There is given a necessary and sufficient condition in order that there exists a function \(g(t):[0,1] \to Y\) of order bounded variation such that \[ \int _0^1t^ndg(t)=y_n, \qquad n=0,1,\dots\;. \]
MSC:
28B15 Set functions, measures and integrals with values in ordered spaces
47B65 Positive linear operators and order-bounded operators
PDF BibTeX XML Cite
Full Text: DOI