𝔖 Bobbio Scriptorium
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Eigenvalues of rank one perturbations of unstructured matrices

✍ Scribed by André C.M. Ran; Michał Wojtylak


Book ID
113772297
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
334 KB
Volume
437
Category
Article
ISSN
0024-3795

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Rank one perturbations of Jacobi matrice
✍ R. del Rio; M. Kudryavtsev; L. Silva 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 155 KB

## Abstract Let __A__ be a self‐adjoint operator and __φ__ its cyclic vector. In this work we study spectral properties of rank one perturbations of __A__ __A~θ~__ = __A__ + __θ__ 〈__φ__ , ·〉__φ__ in relation to their dependence on the real parameter __θ__ . We find bounds on averages of spectr