Abstract
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.
Original language | English |
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Pages (from-to) | 1-11 |
Number of pages | 11 |
Journal | Rad Hrvatske akademije znanosti i umjetnosti: Matematičke znanosti |
Volume | 23 |
DOIs | |
Publication status | Published - 2019 |