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Lower and upper Loeb-integrals
Author(s):
D.
Landers;
L.
Rogge
Journal:
Trans. Amer. Math. Soc.
358
(2006),
3263-3283.
MSC (2000):
Primary 28E05;
Secondary 26E35
Posted:
March 24, 2006
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Additional information
Abstract:
We introduce the concepts of lower and upper Loeb-integrals for an internal integration structure. These are concepts which are similarly useful for Loebs internal integration theory as the concepts of inner and outer Loeb-measures for Loebs measure theory.
References:
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Additional Information:
D.
Landers
Affiliation:
Mathematisches Institut der Universität zu Köln, Weyertal 86, D--50931 Köln, Germany
Email:
landers@mi.uni-koeln.de
L.
Rogge
Affiliation:
Fachbereich Mathematik der Gerhard-Mercator-Universität GHS Duisburg, Lotharstrasse 65, D--47048 Duisburg, Germany
Email:
rogge@math.uni-duisburg.de
DOI:
10.1090/S0002-9947-06-04042-6
PII:
S 0002-9947(06)04042-6
Keywords:
Loeb-measure,
Loeb-integral,
$\tau$-continuity
Received by editor(s):
October 5, 2001
Posted:
March 24, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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