A study of the matrix classes (ℓα, ℓα) and (ℓα, c), 0 <α ≤ 1
Abstract
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 \(\ell_\alpha\), \(0 < \alpha \leq 1\).
2020 Mathematics Subject Classification:
40C05, 40H05Keywords
A-transform, α-norm, α-normed linear space, convex, semigroup, convolution product
Author Details
P. N. Natarajan
Old No. 2/3, New No. 3/3, Second Main Road, R. A. Puram
Chennai 600 028, Tamil Nadu, India
e-mail: pinnangudinatarajan@gmail.com
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