Asian Journal of Mathematics and Computer Research

SOME MATRIX MAPPINGS ON SEQUENCE SPACES OF σ -MEANS

AB. HAMID GANIE *

Department of Mathematics, SSM College of Engineering and Technology Pattan, Kashmir, India

MOBIN AHMAD

Department of Mathematics, Faculity of Sciences Jazzan University, Saudi Arabia

NEYAZ AHMAD

Department of Mathematics, National Institute of Technology Srinagar, 190006, India

AFROZA AKHTAR

Department of Mathematics, Kreeri Secondary School of Education, Baramulla, India

*Author to whom correspondence should be addressed.

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Abstract

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 = (k_r) 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), V_σ(θ)). where V_σ is the space of all bounded sequences all of whose σ - means are equal.

Keywords: Infinite matrices, Banach limits and invariant mean, matrix transformations

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