On some properties of difference operator with some characterizations

Rok, strany: 2022, 165 - 182

In this paper, we introduce the generalized spaces of the form $\mathcal{H}(f,g,Δ_n^m)$, where $\mathcal{H}$ represents one of the spaces $\ell_∞$, $c$ or $c₀$. The köthe duals corresponding to these spaces will be computed and construction of the Schauder bases for $\mathcal{H}\in\{c,c₀\}$ will be given. Also, some matrix characterizations concerning these spaces will be computed. Moreover, the characterization of some classes of compact operators on the spaces $\ell_∞(f,g,Δ_n^m)$ and $c₀(f,g,Δ_n^m)$ by employing the Hausdorff measure of non-compactness will be determined.

ISO 690:

Fathima, D., Ganie, A. 2022. On some properties of difference operator with some characterizations. In Tatra Mountains Mathematical Publications, vol. 81, no.1, pp. 165-182. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0013

APA:

Fathima, D., Ganie, A. (2022). On some properties of difference operator with some characterizations. Tatra Mountains Mathematical Publications, 81(1), 165-182. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2022-0013

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/