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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Lower and upper Loeb-integrals
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by D. Landers and L. Rogge PDF
Trans. Amer. Math. Soc. 358 (2006), 3263-3283 Request permission

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
  • Received by editor(s): October 5, 2001
  • Published electronically: March 24, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 3263-3283
  • MSC (2000): Primary 28E05; Secondary 26E35
  • DOI: https://doi.org/10.1090/S0002-9947-06-04042-6
  • MathSciNet review: 2218975