Operators in minimal spaces with hereditary classes

Abstract

Quite recently, a new minimal structure mH has been introduced in [12] by using a minimal structure m and a hereditary class H. In this paper, we introduce and investigate an operator ΓmH , (?)-strongly m-codense hereditary class H and a minimal structure m which is said to be m-compatible with a hereditary class H in a hereditary m-space (X,m, H). MSC 2010. 54A05, 54A10.