Abstract
Necessary and sufficient conditions are found under which the sum of N order bounded disjointness preserving operators is n-disjoint with n and N naturals. It is shown that the decomposition of an order bounded n-disjoint operator into a sum of disjointness preserving operators is unique up to “Boolean permutation,” the meaning of which is clarified in the course of the presentation.
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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 148–161, January–February, 2019; DOI: 10.17377/smzh.2019.60.113.
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Kusraev, A.G., Kusraeva, Z.A. Sums of Order Bounded Disjointness Preserving Linear Operators. Sib Math J 60, 114–123 (2019). https://doi.org/10.1134/S0037446619010130
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DOI: https://doi.org/10.1134/S0037446619010130