Order Integrals

We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered vector space \(E\). The monotone convergence theorem, Fatou's lemma, and the dominated convergence theorem are established; the analogues of the cl...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	de Jeu, Marcel, Jiang, Xingni
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 09.11.2021
Subjects:	Banach spaces Completeness Convergence Hilbert space Integrals Mathematical analysis Mathematical functions Operators (mathematics) Real numbers Theorems Vector space
ISSN:	2331-8422
Online Access:	Get full text
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