On Cesaro summability of vector valued multiplier spaces and operator valued series

Altay, BilalKama, Ramazan2024-08-042024-08-0420181385-12921572-9281https://doi.org/10.1007/s11117-017-0528-3https://hdl.handle.net/11616/97968In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and CesA ro convergence. Also, we obtain a new version of the Orlicz-Pettis Theorem by means of CesA ro summability.eninfo:eu-repo/semantics/closedAccessMultiplier convergent seriesCesaro sequence spacesSumming operatorCompact operatorsOrlicz-Pettis theoremOn Cesaro summability of vector valued multiplier spaces and operator valued seriesArticle22257558610.1007/s11117-017-0528-32-s2.0-85029510690Q2WOS:000428568300011Q2