Şimşek, NecipKarakaya, Vatan2020-11-212020-11-2120100972-0871https://hdl.handle.net/11467/3646In this paper, we introduce the generalized Cesáro vector-valued sequence space ces(X, pn, qn) equipped with the Luxemburg norm. Further, we show some topological properties of this space with respect to the Luxemburg norm. Finally, it is proved that the space ces(X, pn, qn) has Kadec-Klee (H) property and we also give a counterexample concerning not rotundity of the vector-valued space ces(X, pn, qn). © 2010 Pushpa Publishing House.eninfo:eu-repo/semantics/closedAccessGeneralized cesáro sequence spacesGeometric propertiesH-propertyLuxemburg normR-propertyVector-valued sequence spacesArticle402189200N/A2-s2.0-77955008206