Rearranging absolutely convergent well-ordered series in Banach spaces

Vedran Čačić, Marko Doko, Marko Horvat

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1-11
Number of pages11
JournalRad Hrvatske akademije znanosti i umjetnosti: Matematičke znanosti
Publication statusPublished - 2019


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