ON THE SPECTRUM OF A SPECIAL NORLUND MEANS

Abstract

weighted mean matrices considered as bounded operators on various sequence spaces. Coskun (2003)determined the set of eigenvalues of a special Norlund matrix as a bounded operator over some sequencespaces. In 2010, Akanga, Mwathi, and Wali, determined the spectrum of a special Norlund matrix as abounded operator on c0. It is evident that no research has been done on the spectrum of a generalNorlund means. In this paper the spectrum of a special Norlund matrix as a bounded operator on thesequence space c is determined. This is achieved by applying Banach space theorems of functionalanalysis as well as summability methods of summability theory. In which case it is shown that thespectrum comprises the set 