Open Access
2000/2001 On the Extension of Set-Valued Set Functions
H. E. Brink, P. Maritz
Real Anal. Exchange 26(1): 261-276 (2000/2001).


We extend additive set-valued set functions and normal multimeasures defined on a ring of subsets. We also prove a Carathéodory-Hahn-Kluvanek-type theorem for additive set-valued set functions. Finally, we establish results on the extension of transition multimeasures.


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H. E. Brink. P. Maritz. "On the Extension of Set-Valued Set Functions." Real Anal. Exchange 26 (1) 261 - 276, 2000/2001.


Published: 2000/2001
First available in Project Euclid: 2 January 2009

zbMATH: 1019.28007
MathSciNet: MR1825508

Primary: 28B05 , 28B20 , 46G10

Keywords: Extension‎ , multimeasure

Rights: Copyright © 2000 Michigan State University Press

Vol.26 • No. 1 • 2000/2001
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