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arXiv · 1802.03509

Levy-Steinitz for countable sets of series

Paul B. Larson
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Abstract

The Levy-Steinitz theorem characterizes the values that a conditionally convergent sequence in of real numbers can attain under permutations. We extend this analysis to sequences of countable sequences of real numbers, under pointwise convergence, reproving a theorem of Stanimir Troyanski.

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Paul B. Larson. 2018-02-10. Levy-Steinitz for countable sets of series. https://arxiv.org/abs/1802.03509

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