On Absolute Tribonacci Series Spaces and Some Matrix Operators

Fadime Gökçe

doi:10.36753/mathenot.1480183

EN

On Absolute Tribonacci Series Spaces and Some Matrix Operators

Abstract

In this article, the absolute Tribonacci space $\left|T_\theta\right|_{q}$ is introduced as the domain of the Tribonacci matrix on $\ell_q$. First, certain algebraic and topological structures such as $BK-$space, isomorphism, duals, and Schauder basis are studied. Then, some characterizations of compact and matrix operators on this space are given their norms, and Hausdorff measures of noncompactness are determined.

Keywords

Absolute summability, Compact operator, Hausdorff measure of noncompactness, Matrix transformations, Tribonacci matrix

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Fadime Gökçe ^*
0000-0003-1819-3317
Türkiye

Early Pub Date

December 10, 2024

Publication Date

March 8, 2025

Submission Date

May 7, 2024

Acceptance Date

October 21, 2024

Published in Issue

Year 2025 Volume: 13 Number: 1

DOI

https://doi.org/10.36753/mathenot.1480183

IZ

https://izlik.org/JA96JW72FX

APA

Gökçe, F. (2025). On Absolute Tribonacci Series Spaces and Some Matrix Operators. Mathematical Sciences and Applications E-Notes, 13(1), 1-11. https://doi.org/10.36753/mathenot.1480183

AMA

1.Gökçe F. On Absolute Tribonacci Series Spaces and Some Matrix Operators. Math. Sci. Appl. E-Notes. 2025;13(1):1-11. doi:10.36753/mathenot.1480183

Chicago

Gökçe, Fadime. 2025. “On Absolute Tribonacci Series Spaces and Some Matrix Operators”. Mathematical Sciences and Applications E-Notes 13 (1): 1-11. https://doi.org/10.36753/mathenot.1480183.

EndNote

Gökçe F (March 1, 2025) On Absolute Tribonacci Series Spaces and Some Matrix Operators. Mathematical Sciences and Applications E-Notes 13 1 1–11.

IEEE

[1]F. Gökçe, “On Absolute Tribonacci Series Spaces and Some Matrix Operators”, Math. Sci. Appl. E-Notes, vol. 13, no. 1, pp. 1–11, Mar. 2025, doi: 10.36753/mathenot.1480183.

ISNAD

Gökçe, Fadime. “On Absolute Tribonacci Series Spaces and Some Matrix Operators”. Mathematical Sciences and Applications E-Notes 13/1 (March 1, 2025): 1-11. https://doi.org/10.36753/mathenot.1480183.

JAMA

1.Gökçe F. On Absolute Tribonacci Series Spaces and Some Matrix Operators. Math. Sci. Appl. E-Notes. 2025;13:1–11.

MLA

Gökçe, Fadime. “On Absolute Tribonacci Series Spaces and Some Matrix Operators”. Mathematical Sciences and Applications E-Notes, vol. 13, no. 1, Mar. 2025, pp. 1-11, doi:10.36753/mathenot.1480183.

Vancouver

1.Fadime Gökçe. On Absolute Tribonacci Series Spaces and Some Matrix Operators. Math. Sci. Appl. E-Notes. 2025 Mar. 1;13(1):1-11. doi:10.36753/mathenot.1480183