Özet:
In this paper, we introduce some new multiplier spaces related to a series (Formula presented.) in a normed space X through (Formula presented.) statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and (Formula presented.) respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the (Formula presented.) statistical convergence. © 2021 Taylor & Francis Group, LLC.