Almost Convergent Double Sequences of Bi-complex Numbers

Abstract

In this article we have introduced the notion of almost convergence, strongly almost convergence, almost null and strongly almost null of double sequences in Pringsheim sense of bi-complex numbers. We have proved that these are linear spaces and with the help of the Euclidean norm defined on bi-complex
numbers, we have proved their different algebraic and topological properties. Suitable examples have been discussed.