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math.FA2017
Achievement sets and sum ranges with ideal supports
Jacek Marchwicki
We introduce the notion of ideally supported achievement sets for a series of real numbers. We analize their complexity and topological properties. We compare the notion of ideal a…
math.FA2017
Levy-Steinitz theorem and achievement sets of conditionally convergent series on the real plane
Szymon Glab, Jacek Marchwicki
Levy-Steinitz theorem characterize sum range of conditionally convergent series, that is a set of all its convergent rearrangements; in finitely dimensional spaces -- it is an affi…