Research Article

New Banach Sequence Spaces Defined by Jordan Totient Function

Volume: 6 Number: 4 December 25, 2023
Uskan Devletli , Merve Ilkhan Kara *
EN

New Banach Sequence Spaces Defined by Jordan Totient Function

Abstract

In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators are characterized.

Keywords

Matrix mappings, Sequence space, $\alpha-$, $\beta-$, $\gamma-$duals

References

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APA
Devletli, U., & Ilkhan Kara, M. (2023). New Banach Sequence Spaces Defined by Jordan Totient Function. Communications in Advanced Mathematical Sciences, 6(4), 211-225. https://doi.org/10.33434/cams.1313696
AMA
1.Devletli U, Ilkhan Kara M. New Banach Sequence Spaces Defined by Jordan Totient Function. Communications in Advanced Mathematical Sciences. 2023;6(4):211-225. doi:10.33434/cams.1313696
Chicago
Devletli, Uskan, and Merve Ilkhan Kara. 2023. “New Banach Sequence Spaces Defined by Jordan Totient Function”. Communications in Advanced Mathematical Sciences 6 (4): 211-25. https://doi.org/10.33434/cams.1313696.
EndNote
Devletli U, Ilkhan Kara M (December 1, 2023) New Banach Sequence Spaces Defined by Jordan Totient Function. Communications in Advanced Mathematical Sciences 6 4 211–225.
IEEE
[1]U. Devletli and M. Ilkhan Kara, “New Banach Sequence Spaces Defined by Jordan Totient Function”, Communications in Advanced Mathematical Sciences, vol. 6, no. 4, pp. 211–225, Dec. 2023, doi: 10.33434/cams.1313696.
ISNAD
Devletli, Uskan - Ilkhan Kara, Merve. “New Banach Sequence Spaces Defined by Jordan Totient Function”. Communications in Advanced Mathematical Sciences 6/4 (December 1, 2023): 211-225. https://doi.org/10.33434/cams.1313696.
JAMA
1.Devletli U, Ilkhan Kara M. New Banach Sequence Spaces Defined by Jordan Totient Function. Communications in Advanced Mathematical Sciences. 2023;6:211–225.
MLA
Devletli, Uskan, and Merve Ilkhan Kara. “New Banach Sequence Spaces Defined by Jordan Totient Function”. Communications in Advanced Mathematical Sciences, vol. 6, no. 4, Dec. 2023, pp. 211-25, doi:10.33434/cams.1313696.
Vancouver
1.Uskan Devletli, Merve Ilkhan Kara. New Banach Sequence Spaces Defined by Jordan Totient Function. Communications in Advanced Mathematical Sciences. 2023 Dec. 1;6(4):211-25. doi:10.33434/cams.1313696