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JIPAM
| Invariant Means, Set Ideals and Separation Theorems |
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Authors: |
Roman Badora, |
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Keywords:
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Amenable group, Set ideal, Cauchy functional equation. |
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Date Received:
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30/11/04 |
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Date Accepted:
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25/01/05 |
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Subject Codes: |
Primary 43A07, 39B72.
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Editors: |
Kazimierz Nikodem, |
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Abstract: |
We establish connections between invariant means and set ideals. As an application, we obtain a necessary and sufficient condition for the separation almost everywhere of two functions by an additive function. We also derive the stability results for Cauchy's functional equation.;
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This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=487
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