Transactions of the American Mathematical Society

It has been pointed out by Knebusch, Rosenberg and Ware that the set X X of all orderings on a formally real field can be topologized to make a Boolean space (compact, Hausdorff and tota...

Let B be a real separable Banach space. A suitable linear imbedding of a real separable Hilbert space into B with dense range determines a probability measure on B which is known as abstract Wiener measure. In this paper it is shown that certain submanifolds of B carry a surface measure uniquely defined in terms of abstract Wiener measure. In addition, an identity is obtained which relates surface...