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On algebrability of nonabsolutely convergent series

By Artur Bartoszewicz, Szymon Gła¸b and Tadeusz Poreda

Abstract

AbstractWe 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

Publisher: Elsevier Inc.
Year: 2011
DOI identifier: 10.1016/j.laa.2011.02.008
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