SOME MATRIX MAPPINGS ON SEQUENCE SPACES OF σ -MEANS

Mursaleen have introduced the space V∞(θ) and discuss its various properties (see, [1]). Also, Sheikh and Ganie have recently introduced the space V∞(θ) through the concept of invariant means and lacunary sequence θ = (kr) and characterized its various matrix classes (see, [2]). In this paper, our aim is to characterize the matrix classes (l∞(p,s),V∞(θ)) and (l∞(p,s), Vσ(θ)). where Vσ is the space of all bounded sequences all of whose σ - means are equal.