On q- Cesàro Operators: Boundedness, Compactness and Spectra
05-04-2022 23:09
The main purpose of the paper is to investigate the spectra of the Cesàro operator Cq, where 0<q<∞, on Banach spaces. For 0<q<1, the method of the proof is to exhibit a relationship between the operator Cq and a generalized difference operator Δab. Furthermore, for 1<q<∞, it is shown that the operator Cq is compact on certain Banach spaces. In this case, the spectra of Cq are completely determined