Duality theory of vector and affine processes (Q1280906)

The author shows that the mapping conjugate to a linear nondensely defined operator in locally convex spaces is a vector process closed in weak topologies, and considers the application of the duality theory of vector processes to subdifferential calculus and derives a version of the Banach-Alaoglu theorem. Though vector and affine processes are particular cases of convex processes, but explicit consideration of the vector structure of mappings reveals new useful properties.