THE POSITIVITY PROPERTY OF FUNCTION SPACES
A quasi-normed function space A in ℝn is said to have the positivity property if any real function f ∈ A can be represented as f = f1 − f2, where f1 ∈ A and f2 ∈ A are non-negative functions such that ||f |A|| and ||f1 |A|| + ||f2 |A|| are equivalent quasi-norms on A. The paper deals with this problem in case of