On sequences preserving summability
arXiv:2501.06495 · doi:10.1007/s00025-025-02435-0
Abstract
In this paper, we study sequences of positive numbers preserving summability. In particular, the open set property for such a family of sequences is shown. Several classes of sequences preserving summability, including polynomials, sums of powers, and solutions of some difference equations, are introduced.
25 pages