A characterization of positively decomposable non-linear maps between Banach lattices (Q941693)

The authors introduce certain nonlinear maps between Banach lattices \(E,F\). A map \(T:E\rightarrow F\) is called an S-operator if \(T\) is a monotonic, subadditive, subhomogeneous, orthogonally additive Carleman operator satisfying that for \(f\geq g \geq 0\), \(Tf= Tg\) if and only if \(T(f - g) = 0\). In their main results, the authors characterize the positive decomposability of such maps and also give a characterization of when such maps are disjointness preserving.