Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results
Inverse problems for pseudo-Jacobi matrices: existence and uniqueness results
复制标题
伪雅可比矩阵的反问题：存在性和唯一性结果
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
J. D. da Providência
中科院分区：
文献类型：
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作者：
N. Bebiano;J. D. da Providência
本文包含一些相互关联的结果，涉及使用某些规定数据构造矩阵的一般问题。 Hochstadt 定理阐述了从两个光谱中唯一恢复雅可比矩阵的能力，Malamud 将这一结果扩展到了正规矩阵。在这里，这些结果被推广并研究了相关问题，包括存在性和唯一性定理。有些结果并不新鲜，包含它们是为了说明我们的证明技术所允许的一致性。
This paper contains some inter-related results dealing with the general question of constructing a matrix with certain prescribed data. A theorem of Hochstadt states the unique recovery of a Jacobi matrix from two spectra, and Malamud extended this result for normal matrices. Here these results are generalized and related problems are investigated, including existence and uniqueness theorems. Some of the results are not new, and they are included to illustrate the uniformity allowed by our proof techniques.