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

Altay, BilalKama, Ramazan2019-11-292019-11-292018https://hdl.handle.net/20.500.12604/2123In this paper, we introduce and study vector valued multiplier spaces with the help of the sequence of continuous linear operators between normed spaces and Cesàro convergence. Also, we obtain a new version of the Orlicz–Pettis Theorem by means of Cesàro summability.eninfo:eu-repo/semantics/openAccessMultiplier convergent series Cesàro sequence spaces Summing operator Compact operators Orlicz–Pettis theoremOn Cesàro summability of vector valued multiplier spaces and operator valued seriesArticle222575586Q2WOS:000428568300011Q22-s2.0-8502951069010.1007/s11117-017-0528-3