Year 2021,
Volume: 9 Issue: 4, 151 - 157, 31.12.2021
Serkan Demiriz
,
Emrah Kara
References
-
[1] P.R.Halmos,AHilbertspaceproblembook,NewYork-Basel-Honkong,(1991).
-
[2] R.K.SinghandA.Kumar,Multiplicationoperatorsandcompositionoperatorswithclosedranges,Bulletinof
the Australian Mathematical Society, 16(1977), 247-252.
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[3] R.K.SinghandA.Kumar,Compactcompositionoperators,JournaloftheAustralianMathematicalSociety:
Pure Mathematics and Statistics, Series A, 28(1979), 309-314.
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[4] M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat, 30(5)
(2016), 1175-1184. ̇
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[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.
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[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.
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[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.
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[9] J.S.Shiue,AnoteonCesàrofunctionspaces,TamkangJ.Math.,1(1970),91-95.
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[12] Y. Cui and R. Pluciennik, Banach-Saks property and property β in Cesàro sequence spaces, Southeast Asian Bull. Math., 24(2000), 201-210.
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[13] Y.CuiandH.Hudzik,SomegeometricpropertiesrelatedtofixedpointtheoryinCesàrospaces,Collect.Math., 50(1999), 277-288.
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[14] B.AltayandR.Kama,OnCesàrosummabilityofvectorvaluedmultiplierspacesandoperatorvaluedseries, Positivity, 22(2) (2018), 575-586.
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Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces
Year 2021,
Volume: 9 Issue: 4, 151 - 157, 31.12.2021
Serkan Demiriz
,
Emrah Kara
Abstract
The main purpose of this paper is to characterize the compact, invertible, Fredholm and
closed range multiplication operators on second Ces\`{a}ro-Orlicz
sequence spaces.
References
-
[1] P.R.Halmos,AHilbertspaceproblembook,NewYork-Basel-Honkong,(1991).
-
[2] R.K.SinghandA.Kumar,Multiplicationoperatorsandcompositionoperatorswithclosedranges,Bulletinof
the Australian Mathematical Society, 16(1977), 247-252.
-
[3] R.K.SinghandA.Kumar,Compactcompositionoperators,JournaloftheAustralianMathematicalSociety:
Pure Mathematics and Statistics, Series A, 28(1979), 309-314.
-
[4] M. Mursaleen, A. Aghajani and K. Raj, Multiplication operators on Cesàro function spaces, Filomat, 30(5)
(2016), 1175-1184. ̇
-
[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.
-
[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.
-
[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.
-
[9] J.S.Shiue,AnoteonCesàrofunctionspaces,TamkangJ.Math.,1(1970),91-95.
-
[10] G.M.Leibowitz,AnoteonCesàrosequencespaces,TamkangJ.Math.,2(1971),151-157.
-
[11] A.A.Jagers,AnoteonCesàrosequencespaces,NieuwArch.Wiskund,22(1974),113-124.
-
[12] Y. Cui and R. Pluciennik, Banach-Saks property and property β in Cesàro sequence spaces, Southeast Asian Bull. Math., 24(2000), 201-210.
-
[13] Y.CuiandH.Hudzik,SomegeometricpropertiesrelatedtofixedpointtheoryinCesàrospaces,Collect.Math., 50(1999), 277-288.
-
[14] B.AltayandR.Kama,OnCesàrosummabilityofvectorvaluedmultiplierspacesandoperatorvaluedseries, Positivity, 22(2) (2018), 575-586.
-
[15] R.Kama,OnsomevectorvaluedmultiplierspaceswithstatisticalCesàrosummability.Filomat,33(16)(2019), 5135-5147.
-
[16] J.LindenstraussandL.Tzafriri,OnOrliczsequencespaces,IsraelJ.Math.,10(1971),379-390.