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Subsums of Conditionally Convergent Series in Finite Dimensional Spaces

Publication at Faculty of Mathematics and Physics |
2018

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 literature. We obtain general result for series with harmonic-like coordinates,