Matrix Transformations into A New Sequence Space Related to Invariant Means

CJM Vol. 4 (December 2012), pp. 71 – 77.


In this paper we introduce the sequence space $V_∞(θ)$ through the concept of invariant means and lacunary sequence space $θ = (k_r),$ show its completeness property and characterize the matrix classes $(l_∞ : V_∞(θ))$ and $(l(p) : V_∞(θ)).$

2000 Mathematics Subject Classification: 

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