Geodesic
Representation and extension of orthoregular bilinear operators
Vladikavkazskij matematičeskij žurnal, Tome 9 (2007) no. 1, pp. 16-29

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In this paper we study some important structural properties of orthosymmetric bilinear operators using the concept of the square of an Archimedean vector lattice. Some new results on extension and analytical representation of such operators are presented. 
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     title = {Representation and extension of orthoregular bilinear operators},
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G. Buskes; A. G. Kusraev. Representation and extension of orthoregular bilinear operators. Vladikavkazskij matematičeskij žurnal, Tome 9 (2007) no. 1, pp. 16-29. http://geodesic.mathdoc.fr/item/VMJ_2007_9_1_a1/