Spectral analysis of the quantum Cesaro operator over the sequence space l_p (1<p<infinity)

Abstract

In this paper we have studied the spectrum , fine spectrum and boundedness of $q-$ Ces\`aro Matrices with $0<q<1$. The space considered for this study is $\ell_p$~$(1<p<\infty)$, the $p^{th}$ summable sequence space.