Matrix Transformations into A New Sequence Space Related to Invariant Means

Ab Hamid Ganie; Neyaz Ahmad Sheikh

Authors

Ab Hamid Ganie
Neyaz Ahmad Sheikh

Keywords:

Lacunary sequence, invariant means, almost lacunary convergence, matrix transformation

Abstract

In this paper we introduce the sequence space $gif.latex?V_{\infty}(\theta)$ through the concept of invariant means and lacunary sequence space $gif.latex?\theta=(k_{r})$ , show its completeness property and characterize the matrix classes $gif.latex?(l_{\infty}:V_{\infty}(\theta))$ and $gif.latex?(l(p):V_{\infty}(\theta))$ .

Matrix Transformations into A New Sequence Space Related to Invariant Means

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