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In this paper we define a sequence space V∞ through the concept of invariant means and prove that this is a Banach space under certain norm. We further characterize the matrix classes (l ∞ , V ∞ ) and (l 1 , V ∞ ). AMS subject classification: 40H05, 46A45.

Matrix Transformation into a New Sequence Space Related to Invariant Means