International Journal of Innovative Research and Development

Abstract

In various papers some authors have previously investigated [1], [2], [3], [4], [5] and determined the spectrum of weighted mean matrices considered as bounded operators on various sequence spaces. In this study, we determine eigen values of a Norlund matrix as a bounded operator over the sequence space . This will be achieved by applying Banach space theorems of functional analysis as well as summability methods of summability theory. We are also going to apply eigenvalue problem i.e. Ax= λ x. Where λ arenumbers (realorcomplex) and vector columns  ;suchthat . In which case it is shown that the set of Eigen values of 

 {λ∈C:|λ+1|<2}∪{1}

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