Set valued measures and integral representation

Xue Xiaoping; Cheng Lixin; Li Goucheng; Yao Xiaobo

Set valued measures and integral representation

Xue Xiaoping
, Cheng Lixin
, Li Goucheng
, Yao Xiaobo

School of Mathematics

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

4 Scopus citations

Abstract

The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.

Original language	English
Pages (from-to)	269-284
Number of pages	16
Journal	Commentationes Mathematicae Universitatis Carolinae
Volume	37
Issue number	2
State	Published - 1996

Keywords

Pettis-Aumann integral
Set valued functions
Set valued measures

Cite this

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title = "Set valued measures and integral representation",

abstract = "The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.",

keywords = "Pettis-Aumann integral, Set valued functions, Set valued measures",

author = "Xue Xiaoping and Cheng Lixin and Li Goucheng and Yao Xiaobo",

note = "Publisher Copyright: {\textcopyright} 1996, Charles University, Faculty of Mathematics and Physics.",

year = "1996",

language = "英语",

volume = "37",

pages = "269--284",

journal = "Commentationes Mathematicae Universitatis Carolinae",

issn = "0010-2628",

publisher = "Charles University, Faculty of Mathematics and Physics",

number = "2",

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TY - JOUR

T1 - Set valued measures and integral representation

AU - Xiaoping, Xue

AU - Lixin, Cheng

AU - Goucheng, Li

AU - Xiaobo, Yao

PY - 1996

Y1 - 1996

N2 - The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.

AB - The extension theorem of bounded, weakly compact, convex set valued and weakly countably additive measures is established through a discussion of convexity, compactness and existence of selection of the set valued measures; meanwhile, a characterization is obtained for continuous, weakly compact and convex set valued measures which can be represented by Pettis-Aumann-type integral.

KW - Pettis-Aumann integral

KW - Set valued functions

KW - Set valued measures

UR - https://www.scopus.com/pages/publications/84992235436

M3 - 文章

AN - SCOPUS:84992235436

SN - 0010-2628

VL - 37

SP - 269

EP - 284

JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

IS - 2

ER -

Set valued measures and integral representation

Abstract

Keywords

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