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On the spectra of infinite-dimensional Jacobi matrices

✍ Scribed by J.S Geronimo

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
634 KB
Volume
53
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Rank one perturbations of Jacobi matrice
Rank one perturbations of Jacobi matrices with mixed spectra
✍ R. del Rio; M. Kudryavtsev; L. Silva πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

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