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On Order Convergence of Nets

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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.

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Correspondence to Gleb Sirotkin.

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Yuri Abramovich - Lived 1945 to 2003

Yuri Abramovich- Deceased

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Abramovich, Y., Sirotkin, G. On Order Convergence of Nets. Positivity 9, 287–292 (2005). https://doi.org/10.1007/s11117-004-7543-x

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  • DOI: https://doi.org/10.1007/s11117-004-7543-x

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