f-Orthomorphisms and f-Linear Operators on the Order Dual of an f-Algebra

Abstract EN

We consider the f-orthomorphisms and f-linear operators on the order dual of an f-algebra.

In particular, when the f-algebra has the factorization property (not necessarily unital), we prove that the orthomorphisms, f-orthomorphisms, and f-linear operators on the order dual are precisely the same class of operators.