Compactness via Hausdorff measure of non-compactness and some properties on Tetranacci sequence spaces
DOI:
https://doi.org/10.56405/dngcrj.2025.10.01.07Keywords:
Tetranacci numbers, Sequence spaces, Hausdorff measure of non-compactness, Compact operatorsAbstract
The characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and $\ell_{\infty}(\mathcal{T})$ which are the domains of the regular infinite Tetranacci matrix obtained by using the Tetranacci number sequence in $\ell_p$ and $\ell_{\infty}$, respectively, are investigated by using Hausdorff measure of non-compactness and some properties of $\ell_p(\mathcal{T})$ are examined.
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