The monotone integral with respect to Riesz space-valued capacities

A definition of “monotone integral” is given, similarly as in [5], for real-valued maps and with respect to Dedekind complete Riesz space-valued “capacities”. Some representation theorems are proved; in particular, we give here a version of Riesz representation theorem. Moreover, a concept of wea...

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Bibliographic Details
Main Authors: A. BOCCUTO, A.R. SAMBUCINI
Format: Article
Language:English
Published: Sapienza Università Editrice 1996-09-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(3)/491-524.pdf