It is proved that a separable normed space contains a closed bounded convex symmetric absorbing supportless subset if and only if this space may be covered (in its completion) by the range of a nonisomorphic operator.
@article{bwmeta1.element.bwnjournal-article-smv104i3p279bwm,
author = {V. Fonf},
title = {On supportless absorbing convex subsets in normed spaces},
journal = {Studia Mathematica},
volume = {104},
year = {1993},
pages = {279-284},
zbl = {0815.46019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv104i3p279bwm}
}
Fonf, V. On supportless absorbing convex subsets in normed spaces. Studia Mathematica, Tome 104 (1993) pp. 279-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i3p279bwm/
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