3 papers
math.FA2026
Semi-fast convergent representations of purely atomic finite measures
Jacek Marchwicki
The paper is dedicated to calculate the number of semi-fast convergent representations of a set of subsums. The formula for specific irreductible sequences is obtained. We study th…
math.CA2025
Bounded ranges of cardinal functions
Jacek Marchwicki, Błażej Żmija
Let be a (non-empty) sequence of positive real numbers. Its achievement set is the set of all the possible sums of the elements of .…
math.CA2023
Algebraic sums of achievable sets involving Cantorvals
Jacek Marchwicki, Piotr Nowakowski, Franciszek Prus-Wiśniowski
In this paper we look at the topological type of algebraic sum of achievement sets. We show that there is a Cantorval such that the algebraic sum of its copies is still a Canto…