On the Hahn-Banach theorem for groups |
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Authors: | Roman Badora |
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Affiliation: | (1) Institute of Mathematics, Silesian University, Bankowa 14, PL-40–007 Katowice, Poland |
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Abstract: | Let be the family of all groups such that under each subadditive functional there exists an additive functional. We show that the class is between the class of all amenable groups and the family of all groups for which the Hyers stability theorem for homomorphisms holds true. Next, we generalize the classical Hahn-Banach theorem to the class . Received: 6 May 2005 |
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Keywords: | Primary 46A22 39B82 |
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