Document Zbl 1094.47514

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On bilinear disjointness preserving operators. (Russian) Zbl 1094.47514

Vladikavkaz. Mat. Zh. 6, No. 1, 58-70 (2004).

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.

Cited in 2 Reviews

Cited in 6 Documents

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

Keywords:

positive operator; tensor product; Archimedean vector lattice

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