Algebraic and topological properties of some sets in $l_1$

T. Banakh, A. Bartoszewicz, Sz. Glab +1

For a sequence $x\in l_1\setminus c_{00}$, one can consider the set $E(x)$ of all subsums of series ${\sum }_{n=1}^{\infty }x(n)$. Guthrie and Nymann proved that $E(x)$ is one of th…