Spectral sets of periodic matrices related to the strong moment problem

Abstract

The main result of this work is a parametric description of the spectral sets of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Both are hidden in the simplest possible class of regular 5-diagonal matrices, this fact we also show here. Classification (2010). 30E05, 30F15, 47B39, 46E22. Mathematics Subject