On the fine spectra of triangular Toeplitz operators

The fine spectra of triangular double-band and triple-band matrices were examined by several authors. Here we determine the fine spectra of Toeplitz operators, which are represented by upper and lower triangular n  -band infinite matrices, over the sequence spaces c0c0 and c  . Also some spectral results over ℓ∞ℓ∞ are given.