On Absolute Tribonacci Series Spaces and Some Matrix Operators

Year 2025, Volume: 13 Issue: 1, 1 - 11

Fadime Gökçe

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

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

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