The Finitely Additive Integral of Multifunctions with Closed and Convex Values

The Finitely Additive Integral of Multifunctions with Closed and Convex Values

We investigate integration with respect to a finitely additive measure of integrands with closed, convex values and we obtain a closedness result for the Aumann integral.

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Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 2002-01, Vol.21 (4), p.851-864
Hauptverfasser: Martellotti, Anna, Sambucini, Anna Rita
Format: Artikel
Sprache:eng
Schlagworte:
General topology
Measure and integration
Real functions
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Zusammenfassung:We investigate integration with respect to a finitely additive measure of integrands with closed, convex values and we obtain a closedness result for the Aumann integral.
ISSN:0232-2064
1661-4534
DOI:10.4171/ZAA/1112