A generalized moment problem in vector lattices (Q1608389)
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scientific article; zbMATH DE number 1776547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalized moment problem in vector lattices |
scientific article; zbMATH DE number 1776547 |
Statements
A generalized moment problem in vector lattices (English)
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6 August 2002
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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 \[ \int _0^1t^ndg(t)=y_n, \qquad n=0,1,\dots\;. \]
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moment problem
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vector lattice
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completely monotone sequence
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positive operator
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order bounded variation
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