Some Matrix Transformations on Sequence Spaces of Invariant Means

Abstract

In this paper we define new sequence spaces Vσ(θ) and V ∞σ (θ) which are related to the concept of σ-mean and lacunary sequence θ = (kr), and characterize the matrix classes (l1, V ∞σ (θ)) and (l∞, V ∞σ (θ)).