Saturation and the integration of Banach valued correspondences

Yeneng Sun; Nicholas C. Yannelis

doi:10.1016/j.jmateco.2007.07.005

Saturation and the integration of Banach valued correspondences

Yeneng Sun, Nicholas C. Yannelis

Economics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	861-865
Number of pages	4
Journal	Journal of Mathematical Economics
Volume	44
Issue number	7-8
DOIs	https://doi.org/10.1016/j.jmateco.2007.07.005
Publication status	Published - Jul 2008

Keywords

Banach space
Compactness
Convexity
Correspondences
Integration
Saturation
Upper semicontinuity

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10.1016/j.jmateco.2007.07.005

Cite this

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title = "Saturation and the integration of Banach valued correspondences",

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. {\textcopyright} 2007 Elsevier B.V. All rights reserved.",

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AU - Sun, Yeneng

AU - Yannelis, Nicholas C.

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AB - 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.

KW - Banach space

KW - Compactness

KW - Convexity

KW - Correspondences

KW - Integration

KW - Saturation

KW - Upper semicontinuity

U2 - 10.1016/j.jmateco.2007.07.005

DO - 10.1016/j.jmateco.2007.07.005

M3 - Article

SN - 0304-4068

VL - 44

SP - 861

EP - 865

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

IS - 7-8

ER -

Saturation and the integration of Banach valued correspondences

Abstract

Keywords

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