SUBDIVISIONS OF THE SPECTRA FOR GENERALIZED DIFFERENCE OPERATOR C-nu ON THE SEQUENCE SPACE l(1)

Abstract

The fine spectrum of the generalized difference operator C-nu defined by a strictly decreasing sequence nu of positive reels on the space l(1) has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. Following them, we determine the approximate point spectrum, defect spectrum and compression spectrum of the matrix operator of generalized difference operator C-nu on l(1).