Volume 8 Issue 3 Article 8

On The Spectrum of the Matrix Operator A = (a nk ) on Hahn equence Space h

Authors: Maria Kawa1 & Orhan Tuǧ2
1Mathematics Education Department, Faculty of Education, Tishk International University, Erbil, Iraq
2Mathematics Education Department, Faculty of Education, Tishk International University, Erbil, Iraq

Abstract: In this paper, first we define a matrix operator A = (a nk ) by
an,k={ 1/2(k=n, n-1)~(n=0,1,2….) 0 otherwise,

and we show that A = (a nk ) is a linear and bounded operator on Hahn sequence space h. Then we calculate the fine spectrum of matrix operator A = (a nk ) on the Hahn sequence space h. We also determine the point spectrum, the residual spectrum and continuous spectrum of matrix operator A = (a nk ) on Hahn sequence space h.

Keywords: The Hahn Sequence Space, Matrix Operators, Spectrum of an Operator

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Doi: 10.23918/eajse.v8i3p94

Published: December 21, 2022

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