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Year 2021, Volume: 9 Issue: 4, 151 - 157, 31.12.2021

Serkan Demiriz Emrah Kara

https://doi.org/10.36753/mathenot.944392

Abstract

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.

Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces

Year 2021, Volume: 9 Issue: 4, 151 - 157, 31.12.2021

Serkan Demiriz Emrah Kara

https://doi.org/10.36753/mathenot.944392

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.

Keywords

Multiplication operator Orlicz function Invertible operator

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.
There are 15 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Serkan Demiriz 0000-0002-4662-6020

Emrah Kara 0000-0002-6398-4065

Publication Date December 31, 2021
Submission Date May 28, 2021
Acceptance Date December 31, 2021
Published in Issue Year 2021 Volume: 9 Issue: 4

Cite

APA Demiriz, S., & Kara, E. (2021). Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Mathematical Sciences and Applications E-Notes, 9(4), 151-157. https://doi.org/10.36753/mathenot.944392
AMA Demiriz S, Kara E. Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Math. Sci. Appl. E-Notes. December 2021;9(4):151-157. doi:10.36753/mathenot.944392
Chicago Demiriz, Serkan, and Emrah Kara. “Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces”. Mathematical Sciences and Applications E-Notes 9, no. 4 (December 2021): 151-57. https://doi.org/10.36753/mathenot.944392.
EndNote Demiriz S, Kara E (December 1, 2021) Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Mathematical Sciences and Applications E-Notes 9 4 151–157.
IEEE S. Demiriz and E. Kara, “Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces”, Math. Sci. Appl. E-Notes, vol. 9, no. 4, pp. 151–157, 2021, doi: 10.36753/mathenot.944392.
ISNAD Demiriz, Serkan - Kara, Emrah. “Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces”. Mathematical Sciences and Applications E-Notes 9/4 (December 2021), 151-157. https://doi.org/10.36753/mathenot.944392.
JAMA Demiriz S, Kara E. Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Math. Sci. Appl. E-Notes. 2021;9:151–157.
MLA Demiriz, Serkan and Emrah Kara. “Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces”. Mathematical Sciences and Applications E-Notes, vol. 9, no. 4, 2021, pp. 151-7, doi:10.36753/mathenot.944392.
Vancouver Demiriz S, Kara E. Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Math. Sci. Appl. E-Notes. 2021;9(4):151-7.
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