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On Order Convergence of Nets

On Order Convergence of Nets In this paper we show that any order continuous operator between two Riesz spaces is automatically order bounded. We also investigate different types of order convergence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

On Order Convergence of Nets

Positivity , Volume 9 (3) – Dec 13, 2004

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-004-7543-x
Publisher site
See Article on Publisher Site

Abstract

In this paper we show that any order continuous operator between two Riesz spaces is automatically order bounded. We also investigate different types of order convergence.

Journal

PositivitySpringer Journals

Published: Dec 13, 2004

There are no references for this article.