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On bilinear disjointness preserving operators. (Russian) Zbl 1094.47514

Summary: Order bounded bilinear disjointness preserving operators on vector lattices are shown to be regular. For the case in which the image lattice is order complete, the authors describe the order ideal generated by the set of lattice bimorphisms in the space of regular operators.

MSC:

47B60 Linear operators on ordered spaces
46B40 Ordered normed spaces
46A40 Ordered topological linear spaces, vector lattices
47B65 Positive linear operators and order-bounded operators
46B42 Banach lattices