Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces

Serkan Demiriz; Emrah Kara

doi:10.36753/mathenot.944392

EN

Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces

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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Serkan Demiriz ^*
0000-0002-4662-6020
Türkiye

Emrah Kara
0000-0002-6398-4065
Türkiye

Publication Date

December 31, 2021

Submission Date

May 28, 2021

Acceptance Date

December 31, 2021

Published in Issue

Year 2021 Volume: 9 Number: 4

DOI

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

IZ

https://izlik.org/JA29GE59BX

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

1.Demiriz S, Kara E. Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Math. Sci. Appl. E-Notes. 2021;9(4):151-157. doi:10.36753/mathenot.944392

Chicago

Demiriz, Serkan, and Emrah Kara. 2021. “Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces”. Mathematical Sciences and Applications E-Notes 9 (4): 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

[1]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, Dec. 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 1, 2021): 151-157. https://doi.org/10.36753/mathenot.944392.

JAMA

1.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, Dec. 2021, pp. 151-7, doi:10.36753/mathenot.944392.

Vancouver

1.Serkan Demiriz, Emrah Kara. Multiplication Operators on Second Order Cesaro-Orlicz Sequence Spaces. Math. Sci. Appl. E-Notes. 2021 Dec. 1;9(4):151-7. doi:10.36753/mathenot.944392