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- 2019
Rearranging absolutely convergent well-ordered series in Banach spacesDOI: 10.21857/yq32oh4qd9 Keywords: summability, absolute convergence, reordering, Banach spaces, ordinals. Abstract: Sa?etak We identify a general reordering principle for well-ordered series in Banach spaces. We prove that for every absolutely convergent wellordered series indexed by a countable ordinal, if the series is rearranged according to any countable ordinal, then the absolute convergence and the sum of the series remain unchanged
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