Some base spaces and core theorems of new type

Abstract

In this paper, we constructed two new base sequence spaces, denoted rf and rf0 , 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 zrf0. Finally, we introduced theBRˆ − core of a complex-valued sequence and we examined some inclusion theorems related to this new type of core.