Levy-Steinitz for countable sets of series
Classical Analysis and ODEs
2018-05-03 v2
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.
Cite
@article{arxiv.1802.03509,
title = {Levy-Steinitz for countable sets of series},
author = {Paul B. Larson},
journal= {arXiv preprint arXiv:1802.03509},
year = {2018}
}