On order bounded disjointness preserving operators |
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| Authors: | A. G. Kusraev S. S. Kutateladze |
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| Affiliation: | 1. Southern Mathematical Institute Vladikavkaz Science Center of the Russian Academy of Sciences, North Ossetian State University, Vladikavkaz, Russia
2. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia
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| 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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