On orthogonally additive operators in C-complete vector lattices

Abasov, N.: Completely additive and C-compact operators in lattice-normed spaces. Ann. Funct. Anal. 11(4), 914–928 (2020)

Abasov, N.: On band preserving orthogonally additive operators. Sib. Electron. Math. Rep. 18, 1 (2021)

Aliprantis, C.D., Burkinshaw, O.: Positive Operators. Springer, Dordrecht (2006)

Appell, J., Zabrejko, P.P.: Nonlinear Superposition Operators. Cambridge University Press, Cambridge (1990)

Bogachev, V.I.: Measure Theory, vol. 1. Springer, Berlin (2007)

Erkurşun-Özcan, N., Gezer, N.A., Zabeti, O.: Unbounded absolutely weak Dunford–Pettis operators. Turk. J. Math. 43(6), 2731–2740 (2019)

Erkurşun-Özcan, N., Gezer, N.A., Özdemir, ŞE., Urgancı, İM.: Order compact and unbounded order compact operators. Turk. J. Math. (2021). https://doi.org/10.3906/mat-2004-68

Feldman, W.A.: A characterization of non-linear maps satisfying orthogonality properties. Positivity 21(1), 85–97 (2017)

Feldman, W.A.: A factorization for orthogonally additive operators on Banach lattices. J. Math. Anal. Appl. 472(1), 238–245 (2019)

Fotiy, O., Gumenchuk, A., Krasikova, I., Popov, M.: On sums of narrow and compact operators. Positivity 24(1), 69–80 (2020)

Gumenchuk, A.: Lateral continuity and orthogonally additive operators. Carpath. Math. Publ. 7(1), 49–56 (2015)

Kaminska, A., Krasikova, I., Popov, M.: Projection lateral bands and lateral retracts. Carpath. Math. Publ. 12(2), 333–339 (2020)

Krasnosel’skii, M.A., Zabrejko, P.P., Pustil’nikov, E.I., Sobolevski, P.E.: Integral Operators in Spaces of Summable Functions. Noordhoff, Leiden (1976)

Le Dret, H.: Nonlinear Elliptic Partial Differential Equations. Springer, Berlin (2018)

Maslyuchenko, O., Mykhaylyuk, V., Popov, M.: A lattice approach to narrow operators. Positivity 13, 459–495 (2009)

Mazón, J.M., Segura de León, S.: Order bounded orthogonally additive operators. Rev. Roum. Math. Pures Appl. 35(4), 329–353 (1990)

Mykhaylyuk, V., Popov, M.: On sums of narrow operators on Köthe function space. J. Math. Anal. Appl. 404, 554–561 (2013)

Mykhaylyuk, V.: On the sum of narrow and a compact operators. J. Funct. Anal. 266, 5912–5920 (2014)

Mykhaylyuk, V., Pliev, M., Popov, M.: The lateral order on Riesz spaces and orthogonally additive operators. Positivity 25(2), 291–327 (2021)

Orlov, V., Pliev, M., Rode, D.: Domination problem for AM-compact abstract Uryson operators. Arch. Math. 107(5), 543–552 (2016)

Pliev, M., Fang, X.: Narrow orthogonally additive operators in lattice-normed spaces. Sib. Math. J. 58(1), 134–141 (2017)

Pliev, M.: Domination problem for narrow orthogonally additive operators. Positivity 21, 23–33 (2017). (1)

Pliev, M.: On $$C$$-compact orthogonally additive operators. J. Math. Anal. Appl. 494, 124594 (2021). (1)

Pliev, M., Popov, M.: Narrow orthogonally additive operators. Positivity 18(4), 641–667 (2014)

Pliev, M., Popov, M.: Extension of abstract Urysohn operators. Sib. Math. J. 57(3), 552–557 (2016)

Pliev, M., Ramdane, K.: Order unbounded orthogonally additive operators in vector lattices. Mediterr. J. Math. 15, 55 (2018). (2)

Pliev, M.A., Polat, F., Weber, M.R.: Narrow and $$C$$-compact orthogonally additive operators in lattice-normed spaces. Results Math. 74, 157 (2019)

Ponosov, A., Stepanov, E.: Atomic operators, random dynamical systems and invariant measures. St. Petersb. Math. J. 26(4), 607–642 (2015)

Popov, M.: Horizontal Egorov property of Riesz spaces. Proc. Am. Math. Soc. 149(1), 323–332 (2021)

Popov, M.: Banach lattices of orthogonally additive operators, preprint.

Popov, M., Randrianantoanina, B.: Narrow Operators on function spaces and vector lattices. In: De Gruyter Studies in Mathematics 45. De Gruyter (2012)

Segura de León, S.: Bukhvalov type characterizations of Urysohn operators. Stud. Math. 99(3), 199–220 (1991)

Tradacete, P., Villanueva, I.: Valuations on Banach lattices. Int. Math. Res. Not. 2020(1), 287–319 (2020)