Izvorni znanstveni članak
https://doi.org/10.21857/yq32oh4qd9
Rearranging absolutely convergent well-ordered series in Banach spaces
Vedran Čačić
; Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
Marko Doko
; Max Planck Institute for Software Systems, 67663 Kaiserslautern, Germany
Marko Horvat
; Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
Sažetak
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.
Ključne riječi
Well-ordered series: summability; absolute convergence; reordering; Banach spaces; ordinals.
Hrčak ID:
225226
URI
Datum izdavanja:
17.9.2019.
Posjeta: 1.739 *