A special Norlund means and its spectrum

Abstract

In summability theory, different classes of matrices have been in-vestigated and characterized. There are various types of summability methods e.g. N orlund means, Cesaro, Riesz, Euler, Abel and many others. The spectrum of an operator plays a crucial role in the devel-opment of Tauberian theory for the operator and Mercerian theorems which are used to determine the limit or sum of a convergent sequence or series. In this paper, the spectrum and eigenvalues of a special N orlund ma-trix as a bounded operator on the sequence space c is investigated and de-termined. This is achieved by applying Banach space theorems of func-tional analysis as well as summability methods of summability theory.