author = "Gutman A.E.",

chapter = "5",

title = "Disjointness preserving operators",

booktitle = "Vector lattices and integral operators",

address = "Dordrecht",

publisher = "Kluwer",

year = "1996",

pages = "360--454",

doi = "10.1007/978-94-009-0195-7_5",

annote = "In this chapter, we study disjointness preserving operators in K-spaces and lattice-normed spaces. In particular, we find their analytic representations and decompositions into simpler components. We begin with studying general properties of disjointness preserving operators; then we consider orthomorphisms, shift operators, weighted shift operators, and, finally, return to arbitrary operators and apply the accumulated experience."