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Volume 6, Issue 1, Article 18 |
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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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