Reconstructing Jacobi Matrices from Three Spectra

Details Reconstructing Jacobi Matrices from Three Spectra Reconstructing Jacobi Matrices from Three Spectra

2002-11-04

arxiv.org/abs/math/0211051v1

Spectral Methods for Operators of Mathematical Physics, J. Janas, P. Kurasov, and S. Naboko (eds.), 151-154, Oper. Theory Adv.

Mathematics

Spectral Theory

Scientific paper

Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row.
We give neccessary and sufficient conditions for the spectra of the original
matrix plus the spectra of the two submatrices to uniqely determine the
original matrix. Our result contains Hostadt's original result as a special
case.

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