Some base spaces and core theorems of new type

Zararsiz, Zarife¹ ; Şengönül, Mehmet¹ ; Kayaduman, Kuddusi²

¹ Science and Art Faculty, Nevşehir Hacı Bektaş Veli University, 50300, Nevşehir, Turkey
² Science and Art Faculty, G. Antep University, 27000, G. Antep, Turkey

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 377-391.

Résumé

In this paper, we constructed two new base sequence spaces, denoted $rf$ and $rf_0$, and we investigated some of their important properties. Then, by using matrix domains, we defined other sequence spaces on these base spaces, called $zrf$ and $zrf_0$. Finally, we introduced the $B_\hat{R}$ core of a complex-valued sequence and we examined some inclusion theorems related to this new type of core.

Détail

DOI : 10.22436/jnsa.009.02.04

Classification : 40C05, 46A45, 40J05
Keywords: Almost convergence, base space, isomorphism, dual, matrix transformation, core theorem

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