On some study of the fine spectra of generalized difference operator ${\Delta }_{a,b}$ on ${\ell }_p(1<p<\infty )$

Riddhick Birbonshi, Arnab Patra, P. D. Srivastava

In this paper, we determine the spectrum, the point spectrum, the continuous spectrum and the residual spectrum of the generalized difference operator ${\Delta }_{a,b}$ on the sequence spa…