An Example in the Space of Bounded Operators from C(X) to C(Y)

Samuel Kaplan
1973 Proceedings of the American Mathematical Society  
Let X, Y be compact spaces, and C(X), C(Y) the corresponding Banach lattices of real continuous functions. It is shown that the partially ordered space of bounded operators from C(X) to C( Y) need not be generated by its positive cone.
doi:10.2307/2038957 fatcat:sgl37pvdpzffxbcesvwvnt4qlq