Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jmateco.2007.07.005
Title: Saturation and the integration of Banach valued correspondences
Authors: Sun, Y. 
Yannelis, N.C.
Keywords: Banach space
Compactness
Convexity
Correspondences
Integration
Saturation
Upper semicontinuity
Issue Date: 2008
Source: Sun, Y., Yannelis, N.C. (2008). Saturation and the integration of Banach valued correspondences. Journal of Mathematical Economics 44 (7-8) : 861-865. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmateco.2007.07.005
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.©2007 Elsevier B.V. All rights reserved.
Source Title: Journal of Mathematical Economics
URI: http://scholarbank.nus.edu.sg/handle/10635/19972
ISSN: 03044068
DOI: 10.1016/j.jmateco.2007.07.005
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