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Matematicheskie Zametki, 2004, Volume 76, Issue 6, Pages 905–917
DOI: https://doi.org/10.4213/mzm162 (Mi mzm162) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On a Result of R. Turner

N. B. Uskova

Voronezh State Technical University
Full-text PDF (184 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm162
Abstract: 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.
Received: 03.04.2002
English version:
Mathematical Notes, 2004, Volume 76, Issue 6, Pages 844–854
DOI: https://doi.org/10.1023/B:MATN.0000049684.96209.3d
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. B. Uskova, “On a Result of R. Turner”, Mat. Zametki, 76:6 (2004), 905–917; Math. Notes, 76:6 (2004), 844–854
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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