Saturation and the integration of Banach valued correspondences

Yeneng Sun; Nicholas C. Yannelis

doi:10.1016/j.jmateco.2007.07.005

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Saturation and the integration of Banach valued correspondences

Journal article

Peer reviewed

Saturation and the integration of Banach valued correspondences

Yeneng Sun and Nicholas C. Yannelis

Journal of mathematical economics, Vol.44(7), pp.861-865

07/01/2008

DOI: 10.1016/j.jmateco.2007.07.005

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Abstract

This note illustrates that the saturation property of a probability space can be used to routinely generalize results on the integration of Banach valued correspondences over a Loeb measure space to those over an arbitrary saturated probability space. On the other hand, the saturation property is also necessary for the validity of those results when the target space is infinite dimensional.

Banach space

Compactness

Convexity

Correspondences

Integration

Saturation

Upper semicontinuity

Details

Title: Subtitle: Saturation and the integration of Banach valued correspondences
Creators: Yeneng Sun - National University of Singapore
Nicholas C. Yannelis - University of Illinois Urbana-Champaign
Resource Type: Journal article
Publication Details: Journal of mathematical economics, Vol.44(7), pp.861-865
Publisher: Elsevier B.V
DOI: 10.1016/j.jmateco.2007.07.005
ISSN: 0304-4068
eISSN: 1873-1538
Language: English
Date published: 07/01/2008
Academic Unit: Economics
Record Identifier: 9984380498202771

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