Difference sequence spaces and matrix method

Abstract

In this paper, the difference sequence space has been introduced using the infinite matrices. Some particular matrices are used to defined and study the sequence spaces such as the Kothe matrix. The results about the Kothe spaces, Frechet spaces and Banach-Kothe spaces are also discussed in this paper.

On some new difference λ - sequence spaces of p - absolute type

“…The approach constructing a new difference sequence space by means of the matrix domain of a particular triangle has recently been employed by several authors, see for example [1,2,3,4,5,6,7,9,10,13,14,15,16,17,18,19] and [21]. In the present paper, following [13,14] and [15], we will introduce the difference λ-sequence spaces ℓ λ p (∆) for 1 ≤ p < ∞ and deduce some related results.…”