Geodesic
A study of the matrix classes (ℓα, ℓα) and (ℓα, c), 0
Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 211-218

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In this paper, entries of sequences, infinite series and infinite matrices are real or complex numbers. The present paper is a continuation of [8], where we established some properties of the matrix class \((\ell_\alpha, \ell_\alpha)\), \(0 < \alpha \leq 1\). In this paper, we also record some properties of the class \((\ell_\alpha, c)\) and the sequence space \(\ell_\alpha\), \(0 < \alpha \leq 1\).
Keywords: A-transform, α-norm, α-normed linear space, convex, semigroup, convolution product, 40C05, 40H05 
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Natarajan, Pinnangudi Narayanasubramanian. A study of the matrix classes (ℓα, ℓα) and (ℓα, c), 0. Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 211-218. http://geodesic.mathdoc.fr/item/SMJ2_2022_48_4_a0/