0

M.Radulescu proved the following result: Let X be a compact Hausdorff topological space and π : C(X)→ C(X) a supra-additive and supra-multiplicative operator. Then π is linear and multiplicative. We generalize this result to arbitrary topological spaces.

In this paper, we introduce the concept of IVF weakly m∗-continuous mappings on between IVF minimal spaces and investigate some characterizations for such mappings. Also we study the relationships IVF weakly m∗-continuous mappings and IVF M -compactness. Key ords : IVF minimal space, IVF weakly m∗-continuous, IVF M -compact, almost IVF M -compact, nearly IVF M -compact