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On some study of the fine spectra of generalized difference operator $\Delta {a,b}$ on $\ell p \ (1<p<\infty)$ by Birbonshi, Riddhick; Patra, Arnab; Srivastava, P. D. is a scholarly article available to read on EtoBox.

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

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 space $\ell_p \ (1< p < \infty)$ where the real sequences $a=\{a_k\}$ and $b=\{b_k\}$ are not necessarily convergent. Hence our results generalize the work given by Akhmedov and El-Shabrawy [Math. Slovaca 65~(5) (2015) 1137--1152] for the sequence space $\ell_p (1< p <\infty)$.

Author

Birbonshi, Riddhick; Patra, Arnab; Srivastava, P. D.

Published

2018

Language

EN