Compactness via Hausdorff measure of non-compactness and some properties on Tetranacci sequence spaces
Year: 2025
Type: article
Abstract: 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.
Authors: Sezer Erdem, Serkan Demiriz
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7117565040