With this norm, K(W) is a Banach space and even a Banach lattice, i.e., a vector lattice with the property that \g\ ^/, fEk(W) for a measurable g implies gGA(JF) and ||g|| á||/||. Condition (3) ensures [l, Theorem 5] that the norm (4) is continuous with respect to monotone limits. One obtains examples of such functions W as follows. Let (S, B, p.) be a measure space with measure p, which we sha...