Geodesic
On a Result of R. Turner
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 905-917

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We study the similarity of perturbed compact operators to operators of block-diagonal structure with respect to some family of orthogonal projection operators, which allows us to refine and essentially strengthen results due to R.  Turner. We obtain information about the operator realizing the similarity transformation, present estimates for the eigenvalues and eigenvectors of the perturbed operator, and also study the inverse problem of spectral analysis. 
@article{MZM_2004_76_6_a10,
     author = {N. B. Uskova},
     title = {On a {Result} of {R.} {Turner}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {905--917},
     publisher = {mathdoc},
     volume = {76},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/}
}
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N. B. Uskova. On a Result of R. Turner. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 905-917. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a10/