On the comparison of Aumann and Bochner integrals

DOI10.1006/jmaa.2000.7404zbMath0995.28007OpenAlexW2007601743MaRDI QIDQ5944903

Anna Rita Sambucini, Anna Martellotti

Publication date: 11 March 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cac28075d36e2d72c48d60e1772e6c590143905b

zbMATH Keywords

Aumann integralBochner integralfinitely additive measureStone transform

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)

Related Items (4)

Gauge integrals and selections of weakly compact valued multifunctions ⋮ A note on comparisons between Birkhoff and McShane-type integrals for multifunctions ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures ⋮ An extension of the Birkhoff integrability for multifunctions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
• A Radon-Nikodým theorem and \(L_ p\) completeness for finitely additive vector measures
• Equilibria in markets with a Riesz space of commodities
• Spaces of measurable functions. I
• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• Remarks on the set-valued integrals of Debreu and Aumann
• Completeness of \(L_p\)-spaces in the finitely additive setting and related stories
• Integrals of set-valued functions
• \(L_ p\) spaces over finitely additive measures
• Measurable relations
• An Embedding Theorem for Spaces of Convex Sets

This page was built for publication: On the comparison of Aumann and Bochner integrals