A new almost convergent sequence space defined by Schröder matrix

Abstract

This paper deals with a new almost convergent sequence space constructed by Schröder matrix. It is shown that this new sequence space is linearly isomorphic to the space of all almost convergent sequences. Also, the β-dual of the resulting space is expressed and Schröder core of a complex-valued sequence is introduced. Moreover, some inclusion theorems are obtained for this new type of core.