On the Banach Algebra B(c(N^t))

Authors: Orhan Tuğ^1
1Department of Mathematics Education, Faculty of Education, Tishk International University, Erbil, Iraq

Abstract: In this paper, we give some properties of the Banach Algebras of the bounded operators on the BK space c(N^t) which is the Nörlund domain in the convergent sequence space introduced by Tuğ and Bas¸ar (2016). We prove that the class (c(N^t),c(N^t)) is a Banach algebra with respect to the norm ∥A∥ =∥L_A∥ for all A∈(c(N^t),c(N^t)).

Keywords: Norlund Matrix, Sequence Spaces, Banach Algebras, Matrix Norm
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doi: 10.23918/eajse.v4i4p84

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