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On Psi∗-operator in ideal m-spaces

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Author(s): Ahmad Al-Omari | Takashi Noiri

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 30;
Issue: 1;
Start page: 53;
Date: 2012;
Original page

Keywords: Psi∗-operator | ideal m-space.

ABSTRACT
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)_{*}.
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