The spectrum of the operator D(r,0,0,s) over the sequence space b v ₀

Abstract

In this paper, we study the spectrum of the operator ( , 0, 0, ) on a sequence space 0 , the space of all sequences such that lim →∞ = 0 and ‖ ‖ = ∑ ∞ =0 | +1 − | < ∞.

Spectra and fine Spectra of the upper triangular band matrix U(a;0;b) over the sequence space c0

“…In [13], Tripathy and Das determined the spectra of the Rhaly operator on the class of bounded statistically null bounded variation sequence space. In [10], Paul and Tripathy investigated the so-called fine spectrum of the operator D.r; 0; 0; s/ over a sequence space bv 0 : In [3], Das and Tripathy determined the spectrum and fine spectrum of the lower triangular matrix B .r; s; t / on the sequence space cs.…”