Abstract disintegration in Kantorovich spaces
type: Item
instance of: scholarly article
title: Abstract disintegration in Kantorovich spaces
zbMATH Open document ID: 0571.46028
DOI: 10.1007/BF00968688
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: 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).
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 46A40
Mathematics Subject Classification ID: 28A50
Mathematics Subject Classification ID: 46A55
zbMATH DE Number: 3911053
zbMATH Keywords: Subdifferentiation of integral functionals of operators
zbMATH Keywords: sublinear operator
zbMATH Keywords: positive operator
zbMATH Keywords: abstract disintegration in K-spaces
zbMATH Keywords: Kantorovich spaces
author: Anatoly G. Kusraev
reviewed by: Octavian Lipovan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00968688
OpenAlex ID: W2001814612
description: scientific article; zbMATH DE number 3911053