This article gives dual representations for convex integral functionals on the linear space of regular processes. This space turns out to be a Banach space containing many more familiar classes of stochastic processes and its dual is identified with the space of optional Radon measures with essentially bounded variation. Combined with classical Banach space techniques, our results allow for sys...

A new set of on shell duality equations is proposed that leads to a map between strings moving on symmetric spaces with opposite curvatures. The transformation maps “waves” on a riemannian symmetric space M to “waves” on its dual riemannian symmetric space M̃ . This transformation preserves the energy momentum tensor though it is not a canonical transformation. The preservation of the energy mom...

It is shown that a L∞-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(ω). It follows that this is a L∞-space which is the same size as c0 in the sense of the Szlenk index but does not contain c0. This has some consequences in the theory of uniform homeomorphism of Banach spaces.

Introduction. The purpose of this paper is to study noncommutative C*algebras as Banach spaces. The Gelfand representation of an abelian C*-algebra as the algebra of all continuous complex-valued functions on its spectrum has made it possible to apply the techniques of measure theory and the topological properties of compact Hausdorff spaces to the study of such algebras. No such structure theo...