On the fine spectra of triangular Toeplitz operators (Q548372)

By fine spectrum of an operator, the author means the following three parts of spectrum: the point spectrum, the continuous spectrum, and the residual spectrum. In the present paper, these are determined for Toeplitz operators represented by upper and lower triangular \(n\)-band infinite matrices over the space \(c\) of one-sided convergent sequences and its subspace \(c_0\) of sequences converging to zero. Similar results are given for the \(\ell^ p\)-spaces, \(1\leq p\leq\infty\).