Abstract disintegration in Kantorovich spaces
Subdifferentiation of integral functionals of operators is, in the convex analysis, of the same importance as the differentiation with respect to a parameter of integrals in the calculus of variations. But the commutativity between the subdifferential operator and the integral one is more complicated than the corresponding problem for differentiation and integration. The author studies this problem which can be expressed in an abstract way as follows: \[ \partial (T\circ P)=T\circ \partial P \] where P is a sublinear operator and T a positive operator, whereas \(\partial\) means subdifferentiation. The above formula defines what the author calls desintegration. The aim of the present paper is to develop abstract disintegration in K-spaces (Kantorovich spaces).
Subdifferentiation of integral functionals of operators
scientific article; zbMATH DE number 3911053