On extension of dominated Uryson operators
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 3-8

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We investigate the procedure of extension of a dominated orthogonally additive map dominated by a laterally continuous operator from laterally ideal to the whole space. It is established that such operator admits an extension that is dominated and laterally continuous.
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     author = {N. M. Abasov and M. A. Pliev},
     title = {On extension of dominated {Uryson} operators},
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N. M. Abasov; M. A. Pliev. On extension of dominated Uryson operators. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 3-8. http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a0/