The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case∗†‡
نویسندگان
چکیده
We present a technique for reconstructing a semi-infinite Jacobi operator in the limit circle case from the spectra of two different self-adjoint extensions. Moreover, we give necessary and sufficient conditions for two real sequences to be the spectra of two different self-adjoint extensions of a Jacobi operator in the limit circle case. ∗Mathematics Subject Classification(2000): 47B36, 49N45, 81Q10, 47A75, 47B37, 47B39 †
منابع مشابه
The Two - Spectra Inverse Problem for Semi - Infinite Jacobi Matrices in The Limit - Circle Case ∗ † ‡ Luis
We present a technique for reconstructing a semi-infinite Jacobi operator in the limit circle case from the spectra of two different self-adjoint extensions. Moreover, we give necessary and sufficient conditions for two real sequences to be the spectra of two different self-adjoint extensions of a Jacobi operator in the limit circle case. Mathematics Subject Classification(2000): 47B36, 49N45, ...
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