On the fine spectrum of the generalized difference operator B(r,s) over the Hahn sequence space h

Abstract

Of particular interest to many researchers are the investigation of the spectra of the difference operator and its generalizations over sequence spaces. In this work, we will introduce the spectra analysis of the generalized difference operator B(r,s) on the Hahn sequence space h. Moreover, we will improve some proofs of the results in the existing literature