The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on [Formula: see text] ([Formula: see text])

The discrete generalized Cesàro matrix [Formula: see text] is the triangular matrix with nonzero entries [Formula: see text], where [Formula: see text]. In this paper, boundedness, compactness, spectra, the fine spectra and subdivisions of the spectra of discrete generalized Cesàro operator on [Formula: see text] ([Formula: see text]) have been determined.