%0 Journal Article %T Decomposition of an abstract Uryson operator %A M. A. Ben Amor %A M. Pliev %J Mathematics %D 2013 %I arXiv %X We consider the space of abstract Uryson operators firstly introduced in [9]. We obtain the formulas for band projections on the band generated by increasing set of a positive Uryson operators and on the band generated one-dimensional abstract Uryson operators. We also calculate the laterally continuous part of a abstract Uryson operator. %U http://arxiv.org/abs/1309.6085v1