A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences

Merve İlkhan; Mehmet Akif Bayrakdar

EN

A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences

Abstract

In this study, a special lower triangular matrix derived by combining Riesz matrix and Euler 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. Finally by the aid of measure of non-compactness, the conditions for which a matrix operator on these spaces is compact are determined.

Keywords

sequence spaces, $\alpha-$,$\beta-$,$\gamma-$duals, Matrix mappings, Hausdorff measure of non-compactness, Compact operators

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Merve İlkhan ^*
Türkiye

Mehmet Akif Bayrakdar
Türkiye

Publication Date

March 29, 2021

Submission Date

December 22, 2020

Acceptance Date

March 12, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

IZ

https://izlik.org/JA26GS64NP

APA

İlkhan, M., & Bayrakdar, M. A. (2021). A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences. Communications in Advanced Mathematical Sciences, 4(1), 14-25. https://izlik.org/JA26GS64NP

AMA

1.İlkhan M, Bayrakdar MA. A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences. Communications in Advanced Mathematical Sciences. 2021;4(1):14-25. https://izlik.org/JA26GS64NP

Chicago

İlkhan, Merve, and Mehmet Akif Bayrakdar. 2021. “A Study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences”. Communications in Advanced Mathematical Sciences 4 (1): 14-25. https://izlik.org/JA26GS64NP.

EndNote

İlkhan M, Bayrakdar MA (March 1, 2021) A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences. Communications in Advanced Mathematical Sciences 4 1 14–25.

IEEE

[1]M. İlkhan and M. A. Bayrakdar, “A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences”, Communications in Advanced Mathematical Sciences, vol. 4, no. 1, pp. 14–25, Mar. 2021, [Online]. Available: https://izlik.org/JA26GS64NP

ISNAD

İlkhan, Merve - Bayrakdar, Mehmet Akif. “A Study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences”. Communications in Advanced Mathematical Sciences 4/1 (March 1, 2021): 14-25. https://izlik.org/JA26GS64NP.

JAMA

1.İlkhan M, Bayrakdar MA. A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences. Communications in Advanced Mathematical Sciences. 2021;4:14–25.

MLA

İlkhan, Merve, and Mehmet Akif Bayrakdar. “A Study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences”. Communications in Advanced Mathematical Sciences, vol. 4, no. 1, Mar. 2021, pp. 14-25, https://izlik.org/JA26GS64NP.

Vancouver

1.Merve İlkhan, Mehmet Akif Bayrakdar. A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences. Communications in Advanced Mathematical Sciences [Internet]. 2021 Mar. 1;4(1):14-25. Available from: https://izlik.org/JA26GS64NP

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A study on Matrix Domain of Riesz-Euler Totient Matrix in the Space of $p$-Absolutely Summable Sequences

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

IZ

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