Rearranging absolutely covergent well-ordered series in Banach spaces (CROSBI ID 287946)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Čačić, Vedran ; Doko, Marko ; Horvat, Marko
engleski
Rearranging absolutely covergent well-ordered series in Banach spaces
We identify a general reordering principle for well-ordered series in Banach spaces. We prove that for every absolutely convergent well-ordered series indexed by a countable ordinal, if the seriesis rearranged according to any countable ordinal, then the absolute convergence and the sum of the series remain unchanged.
Well-ordered series ; summability ; absolute convergence ; reordering ; Banach spaces ; ordinals
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Podaci o izdanju
23 (58)
2019.
1-11
objavljeno
1330-0814
10.21857/yq32oh4qd9