A new inverse three spectra theorem for Jacobi matrices

This paper deals with an inverse three spectra problem for Jacobi matrices, where the spectrum of the full N×N Jacobi matrix T is prescribed, together with the spectra of two matrices obtained from the principal submatrices of T, denoted by T1,n and Tn+1,N, by modifying the lower right entry of T1,n and the upper left entry of Tn+1,N. Here n satisfying 1≤n