On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

Abstract

In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space . Also, we show that the spaces and are linearly isomorphic. Further, we determine the -dual of the space and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.