On algebrability of nonabsolutely convergent series |
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Authors: | Artur Bartoszewicz Tadeusz Poreda |
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Affiliation: | Institute of Mathematics, Technical University of ?ód?, Wólczańska 215, 93-005 ?ód?, Poland |
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Abstract: | We prove that the set of all complex series which are nonabsolutely convergent is c-algebrable. We establish a similar result for the set of all divergent complex series with bounded partial sums. |
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Keywords: | Primary: 40A05 Secondary: 15A03 |
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