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- W4287691307 abstract "Assume that a convergent series of real numbers $sumlimits_{n=1}^infty a_n$ has the property that there exists a set $Asubseteq N$ such that the series $sumlimits_{n in A} a_n$ is conditionally convergent. We prove that for a given arbitrary sequence $(b_n)$ of real numbers there exists a permutation $sigmacolon N to N$ such that $sigma(n) = n$ for every $n notin A$ and $(b_n)$ is $c_0$-equivalent to a subsequence of the sequence of partial sums of the series $sumlimits_{n=1}^infty a_{sigma(n)}$. Moreover, we discuss a connection between our main result with the classical Riemann series theorem." @default.
- W4287691307 created "2022-07-26" @default.
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- W4287691307 date "2020-08-09" @default.
- W4287691307 modified "2023-10-18" @default.
- W4287691307 title "On the $c_0$-equivalence and permutations of series" @default.
- W4287691307 hasPublicationYear "2020" @default.
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