On Köthe-Toeplitz duals of some new and generalized difference sequence spaces

Abstract

In this paper we de¯ne the sequence spaces 4mv \(∆_m ^{v,r}\)(l_ꝏ), \(∆_m ^{v,r}\)(c) and \(∆_m ^{v,r}\)(c₀), (m ∈ N, r ∈ R), and have studied some of their topological properties and have computed their Köthe-Toeplitz duals.