94 citations · 145 across the 20 of their papers we have counts for
4 papers · 1 filter
Topological duals of Banach function spaces
Teemu Pennanen, Ari-Pekka Perkkiö
This paper studies topological duals of Banach function spaces (BFS). We assume a finite measure but our arguments extend to general locally convex function spaces whose topology i…
Dual spaces of cadlag processes
Teemu Pennanen, Ari-Pekka Perkkiö
This article characterizes topological duals of spaces of cadlag processes. We obtain extensions of functional analytic results of Dellacherie and Meyer that underlie many fundamen…
Convex duality in nonlinear optimal transport
Teemu Pennanen, Ari-Pekka Perkkiö
This article studies problems of optimal transport, by embedding them in a general functional analytic framework of convex optimization. This provides a unified treatment of a larg…
Convex integral functionals of regular processes
Teemu Pennanen, Ari-Pekka Perkkiö
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 fam…