TY - JOUR T1 - Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces AU - Demiriz, Serkan AU - Kara, Emrah PY - 2021 DA - December Y2 - 2021 DO - 10.36753/mathenot.944392 JF - Mathematical Sciences and Applications E-Notes JO - Math. Sci. Appl. E-Notes PB - Murat TOSUN WT - DergiPark SN - 2147-6268 SP - 151 EP - 157 VL - 9 IS - 4 LA - en AB - The main purpose of this paper is to characterize the compact, invertible, Fredholm andclosed range multiplication operators on second Ces\`{a}ro-Orliczsequence spaces. KW - Multiplication operator KW - Orlicz function KW - Invertible operator CR - [1] P.R.Halmos,AHilbertspaceproblembook,NewYork-Basel-Honkong,(1991). CR - [2] R.K.SinghandA.Kumar,Multiplicationoperatorsandcompositionoperatorswithclosedranges,Bulletinof the Australian Mathematical Society, 16(1977), 247-252. CR - [3] R.K.SinghandA.Kumar,Compactcompositionoperators,JournaloftheAustralianMathematicalSociety: Pure Mathematics and Statistics, Series A, 28(1979), 309-314. CR - [4] M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat, 30(5) (2016), 1175-1184. ̇ CR - [6] R. E. Castillo, H. C. Chaparro and J. C. Ramos-Fernández, Orlicz-Lorentz spaces and their multiplication operators, Hacettepe Journal of Mathematics and Statistics, 44(2015), 991-1009. CR - [7] R. E. Castillo, J. C. Ramos-Fernández and H. Rafeiro, Multiplication operators in variable Lebesgue spaces, Revista Colombiana de Matemáticas, 49(2015), 293-305. CR - [8] R.E.Castillo,F.A.VallejoNarvaezandJ.C.Ramos-Fernández,Multiplicationandcompositionoperatorson weak Lp spaces, Bulletin of the Malaysian Mathematical Sciences Society, 38(2015), 927-973. CR - [9] J.S.Shiue,AnoteonCesàrofunctionspaces,TamkangJ.Math.,1(1970),91-95. CR - [10] G.M.Leibowitz,AnoteonCesàrosequencespaces,TamkangJ.Math.,2(1971),151-157. CR - [11] A.A.Jagers,AnoteonCesàrosequencespaces,NieuwArch.Wiskund,22(1974),113-124. CR - [12] Y. Cui and R. Pluciennik, Banach-Saks property and property β in Cesàro sequence spaces, Southeast Asian Bull. Math., 24(2000), 201-210. CR - [13] Y.CuiandH.Hudzik,SomegeometricpropertiesrelatedtofixedpointtheoryinCesàrospaces,Collect.Math., 50(1999), 277-288. CR - [14] B.AltayandR.Kama,OnCesàrosummabilityofvectorvaluedmultiplierspacesandoperatorvaluedseries, Positivity, 22(2) (2018), 575-586. CR - [15] R.Kama,OnsomevectorvaluedmultiplierspaceswithstatisticalCesàrosummability.Filomat,33(16)(2019), 5135-5147. CR - [16] J.LindenstraussandL.Tzafriri,OnOrliczsequencespaces,IsraelJ.Math.,10(1971),379-390. UR - https://doi.org/10.36753/mathenot.944392 L1 - https://dergipark.org.tr/en/download/article-file/1793708 ER -