Compactness and convergence of set-valued measures

Kenny Koffi Siggini

Colloquium Mathematicae (2009)

  • Volume: 114, Issue: 2, page 177-189
  • ISSN: 0010-1354

Abstract

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We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.

How to cite

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Kenny Koffi Siggini. "Compactness and convergence of set-valued measures." Colloquium Mathematicae 114.2 (2009): 177-189. <http://eudml.org/doc/283889>.

@article{KennyKoffiSiggini2009,
abstract = {We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.},
author = {Kenny Koffi Siggini},
journal = {Colloquium Mathematicae},
keywords = {set-valued measure; convergence of measures; Dieudonné theorem; relative compactness; narrow topology; -topology},
language = {eng},
number = {2},
pages = {177-189},
title = {Compactness and convergence of set-valued measures},
url = {http://eudml.org/doc/283889},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Kenny Koffi Siggini
TI - Compactness and convergence of set-valued measures
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 2
SP - 177
EP - 189
AB - We prove criteria for relative compactness in the space of set-valued measures whose values are compact convex sets in a Banach space, and we generalize to set-valued measures the famous theorem of Dieudonné on convergence of real non-negative regular measures.
LA - eng
KW - set-valued measure; convergence of measures; Dieudonné theorem; relative compactness; narrow topology; -topology
UR - http://eudml.org/doc/283889
ER -

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