One General Method in Operator Theory
Vladikavkazskij matematičeskij žurnal, Tome 7 (2005) no. 4, pp. 35-37

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An order bounded operator with target a Dedekind complete vector lattice is determined up to an orthomorphism from the kernels of its strata. Some applications to 2-disjoint operators are briefly discussed.
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S. S. Kutateladze. One General Method in Operator Theory. Vladikavkazskij matematičeskij žurnal, Tome 7 (2005) no. 4, pp. 35-37. http://geodesic.mathdoc.fr/item/VMJ_2005_7_4_a5/