On Psi -operator in ideal m-spaces

An ideal on a set X is a nonempty collection of subsets of X withheredity property which is also closed finite unions. The concept of ideal m-spaces was introduced by Al-Omari and Noiri [1]. In this paper, we introduce and study an operator Psi_{*} : P(X) rightarrow M defined as follows for every A in X, Psi_{*}(A) = {x in X :there exists a U in M(x) such that U A in I}, and observes that Psi_{*}(A) =X (X A)_{*}.