Abstract
The main purpose of the paper is to investigate the spectra of the Cesàro operator Cq, where
on Banach spaces. For
the method of the proof is to exhibit a relationship between the operator Cq and a generalized difference operator Δab. Furthermore, for
it is shown that the operator Cq is compact on certain Banach spaces. In this case, the spectra of Cq are completely determined.
Keywords:
2010 MATHEMATICS SUBJECT CLASSIFICATION::