...is dense in C(X). 0 Introduction The spaces we consider in this note will be normed function spaces. Let X be a compact Hausdorff space and let C(X) denote the space of all continuous real- valued functions on X. A normed function space on X is a subspace of...

...will be positive if and only if the corresponding matrix in Mnk is positive. For a second example, let X be a compact Hausdorff space, and let C(X) denote the continuous complex-valued functions on X. Setting /*(*) = f(x), we have and defining the algebra operations...