Abstract. In this article, we introduce and study Catalan almost convergent sequence spaces by using the Catalan matrix. We obtain topological properties and the $\beta $-dual of the resulting sequence spaces. Finally, we define the Catalan core of complex-valued sequences and give some inclusion theorems related to the Catalan core.
AMS Subject Classification
(1991): 40A05, 40A30
received 12.10.2020, revised 21.1.2021, accepted 30.1.2021. (Registered under 43/2020.)