### $C$-compact orthogonally additive operators in vector lattices. (arXiv:1911.10255v1 [math.FA])

We consider $C$-compact orthogonally additive operators in vector lattices. In the first part of the article we present some examples of $C$-compact operators defined on a vector lattice and taking value in a Banach space. It is shown that the set of all $C$-compact orthogonally additive operators from a vector lattice $E$ to an order…