A uniqueness theorem on matrices and reconstruction
نویسندگان
چکیده
منابع مشابه
Uniqueness of Reflectionless Jacobi Matrices and the Denisov-rakhmanov Theorem
If a Jacobi matrix J is reflectionless on (−2, 2) and has a single an0 equal to 1, then J is the free Jacobi matrix an ≡ 1, bn ≡ 0. I’ll discuss this result and its generalization to arbitrary sets and present several applications, including the following: if a Jacobi matrix has some portion of its an’s close to 1, then one assumption in the Denisov-Rakhmanov Theorem can be dropped. 1. Statemen...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2009
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2008.06.005