Abstract
The paper is aimed at demonstrating that some properties of order bounded operators in vector lattices are just Boolean valued interpretations of elementary properties of order bounded functionals. We present the general machinery and illustrate it with a few new results on order bounded disjointness preserving and n-disjoint operators.
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Original Russian Text Copyright © 2014 Kusraev A.G. and Kutateladze S.S.
To Yu. G. Reshetnyak on the occasion of his 85th birthday.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 5, pp. 1118–1136, September–October, 2014.
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Kusraev, A.G., Kutateladze, S.S. On order bounded disjointness preserving operators. Sib Math J 55, 915–928 (2014). https://doi.org/10.1134/S0037446614050103
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DOI: https://doi.org/10.1134/S0037446614050103