# On some properties of difference operator with some characterizations

In: Tatra Mountains Mathematical Publications, vol. 81, no. 1
Dowlath Fathima - Abdul Hamid Ganie
Detaily:
Rok, strany: 2022, 165 - 182
Jazyk: eng
Kľúčové slová:
$BK$ spaces, compact operators, matrix transformations
Typ článku: Applied Mathematics
Typ dokumentu: scientific paper pdf
O článku:
In this paper, we introduce the generalized spaces of the form $\mathcal{H}(f,g,Δnm)$, 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 $\ell(f,g,Δnm)$ and $c0(f,g,Δnm)$ by employing the Hausdorff measure of non-compactness will be determined.
Ako citovať:
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
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 22. 11. 2022
Verejná licencia: