Disjointness and order projections in the vector lattices of abstract Uryson operators
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Abasov, N., Pliev, M.: Order properties of the space of dominated Uryson operators. Int. J. Math. Anal. 9(45), 2211–2219 (2015)
Abramovich, Yu.A., Aliprantis, C.D.: Invitation to operator theory. In: Graduate Studies in Mathematics, vol. 50. American Mathematical Society, Providence, RI (2002)
Aliprantis, C.D., Burkinshaw, O.: The components of a positive operator. Math. Z. 184(2), 245–257 (1983)
Ben Amor, M., Pliev, M.A.: Laterally continuous part of an abstract Uryson operator. Int. J. Math. Anal. 7(58), 2853–2860 (2013)
Getoeva, A., Pliev, M.: Domination problem for orthgonally additive operators in lattice-normed spaces. Int. J. Math. Anal. 9(27), 1341–1352 (2015)
Gumenchuk, A.V., Pliev, M.A., Popov, M.M.: Extensions of orthogonally additive operators. Mat. Stud. 41(2), 214–219 (2014)
Kolesnikov, E.V.: Decomposition of a positive operator. Sib. Math. J. 30(5), 77–79 (1989)
Kolesnikov, E.V.: Several order projections generated by ideals of a vector lattice. Sib. Math. J. 36(6), 1342–1349 (1995)
Krasnosel’skij, M.A., Zabrejko, P.P., Pustil’nikov, E.I., Sobolevskij, P.E.: Integral Operators in Spaces of Summable Functions. Noordhoff, Leiden (1976)
Kusraev, A.G., Kutateladze, S.S.: Boolean Valued Analysis. Kluwer Academic Publishers, Dordrecht (1999)
Kusraev, A.G., Pliev, M.A.: Orthogonally additive operators on lattice-normed spaces. Vladikavkaz Math. J. 3, 33–43 (1999)
Kusraev, A.G., Pliev, M.A.: Weak integral representation of the dominated orthogonally additive operators. Vladikavkaz Math. J. 4, 22–39 (1999)
Mazón, J.M., Segura de León, S.: Order bounded orthogonally additive operators. Rev. Roum. Math. Pures Appl. 35(4), 329–353 (1990)
Mazón, J.M., Segura de León, S.: Uryson operators. Rev. Roum. Math. Pures Appl. 35(5), 431–449 (1990)
Pliev, M.A.: Uryson operators on the spaces with mixed norm. Vladikavkaz Math. J. 3, 47–57 (2007)
Pliev, M.A.: Projection of the positive Uryson operator. Vladikavkaz Math. J. 4, 46–51 (2005)
Pliev, M.A.: Order projections in the space of Uryson operators. Vladikavkaz Math. J. 4, 38–44 (2006)
Pliev, M.A.: The shadow of bilinear regular operator. Vladikavkaz Math. J. 3, 40–45 (2008)
Zaanen, A.G.: Riesz Spaces II. North Holland, Amsterdam (1983)