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Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators
Integral Equations and Operator Theory ( IF 0.8 ) Pub Date : 2021-04-09 , DOI: 10.1007/s00020-021-02630-y Oles Dobosevych , Rostyslav Hryniv
中文翻译:
自伴算子的一阶摄动的正谱和反谱问题
更新日期:2021-04-09
Integral Equations and Operator Theory ( IF 0.8 ) Pub Date : 2021-04-09 , DOI: 10.1007/s00020-021-02630-y Oles Dobosevych , Rostyslav Hryniv
For a given self-adjoint operator A with discrete spectrum, we completely characterise possible eigenvalues of its rank-one perturbations B and discuss the inverse problem of reconstructing B from its spectrum.
中文翻译:
自伴算子的一阶摄动的正谱和反谱问题
对于给定的具有离散频谱的自伴算子A,我们完全刻画了其秩一扰动B的可能特征值, 并讨论了从其频谱重构B的反问题。