“…On the other hand, invertible disjointness preserving operators occupied a prominent role in a vast literature, such as [7,20,33,35] and mainly the remarkable memoir [3] by Abramovich and Kitover. One of the external reasons for the continuing interest in disjointness preserving operators is the fact that precisely the order bounded disjointness preserving operators allow multiplicative representations as weighted composition operators and, more generally, polar decompositions [2,19,28,39]. They thus found applications in the theory of singular and integral equation, dynamical system, and differential equations with delayed time [38,46,51].…”