Factorization by Lattice Homomorphisms.
Let be the set of all bounded linear operators acting in Hilbert space and the set of all positive selfadjoint elements of . The aim of this paper is to prove that for every finite sequence of selfadjoint, commuting elements of and every natural number , the inequality holds.
We give criteria for domination of strongly continuous semigroups in ordered Banach spaces that are not necessarily lattices, and thus obtain generalizations of certain results known in the lattice case. We give applications to semigroups generated by differential operators in function spaces which are not lattices.