Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices Original Research Article

In contrast to the Hermitian case, the “unfair behavior” of non-Hermitian Toeplitz eigenvalues is still to be unravelled. We propose a general technique for this, which reveals the eigenvalue clusters for symbols from L∞. Moreover, we study a thin structure of those clusters in the terms of properly defined subclusters. In some cases, this leads to as much as the Szego-like formulas.