Abstract
An achievement set of a series is a set of all its subsums. We study the
properties of achievement sets of conditionally convergent series in finite
dimensional spaces. The purpose of the paper is to answer some of the open
problems formulated in [10]. We obtain general result for series with
harmonic-like coordinates, that is A((-1)n+1n-?1,..., (-1)n+1n-?d)
= Rd for pairwise distinct numbers ?1,..., ?d ? (0,1]. For d = 2, ?1 =
1, ?2 = 1/2 this problem was stated in [10].
Publisher
National Library of Serbia