Spectra and fine spectra of the upper triangular band matrix U(a; 0; b) on the Hahn sequence space

摘要

The aim of this paper is to obtain the spectra and fine spectra of the matrix U(a; 0; b) on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix U(a(0), a(1), ..., a(n-1); 0: b(0), b(1), ..., b(n-1)), where the non-zero diagonals are the entries of an oscillatory sequence.