Subdivision of the Spectra for Difference Operator over Certain Sequence Space

In a series of papers, B. Altay, F. Briar and A. M. Akhmedov recently investigated the spectra and fine spectra for difference operator, considered as bounded operator over various sequence spaces. In the present paper approximation point spectrum, defect spectrum and compression spectrum of difference operator Delta over the sequence spaces c(0), c, l(p) and bv(p) are determined, where bv(p) denotes the space of all sequences (x(k)) such that (x(k) - x(k-1)) belongs to the sequence space l(p) and 1 < p < infinity.