The spectral analysis of a new operatör over some spaces

This study, which deal with spectrum of an operator defined on some sequence spaces, consist of four chapter.In the first chapter, the historical development of the field of spectrum and a literature rewiev of studies concerned with the spectrum were given and the aim of this study were indicated. In the second chapter, the principal definitions and theorems were given that used in other chapters.In the third chapter, the spectrum and fine spectrum of the matrix that are obtained with multiplication of difference matrix and factorable matrix, were studied on sequence spaces of 0 c c, .In the last chapter, the spectrum of the same operator were obtained over sequence spaces of 1,p. Key Words: Sequence spaces, the spectrum of an operator, fine spectrum, matrix transformation, difference matrix, factorable matrix.