Rearrangement of series in nonnuclear spaces
Volume 107 / 1993
Studia Mathematica 107 (1993), 213-222
DOI: 10.4064/sm-107-3-213-222
Abstract
It is proved that if a metrizable locally convex space is not nuclear, then it does not satisfy the Lévy-Steinitz theorem on rearrangement of series.