Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem

Kama, RamazanAltay, Bilal2024-08-042024-08-0420210163-05631532-2467https://doi.org/10.1080/01630563.2021.1961803https://hdl.handle.net/11616/100125In this paper, we introduce some new multiplier spaces related to a series Sigma(i)x(i) in a normed space X through f-statistical summability and give some characterizations of completeness and barrelledness of the spaces through weakly unconditionally Cauchy series in X and X*, respectively. We also obtain a new version of the Orlicz-Pettis theorem within the frame of the f-statistical convergence.eninfo:eu-repo/semantics/closedAccessStatistical convergenceOrlicz-Pettis Theoremweakly unconditionally Cauchy seriescompletenessMultiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis TheoremArticle42121410142210.1080/01630563.2021.19618032-s2.0-85112434809Q2WOS:000684726100001Q2