On similarity of perturbed multiplication operators

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Let S be the multiplication operator by an independent variable x in L_2(0,1) and V be an integral operator of Volterra type. We find conditions for T:=S+V to be similar to S and discuss some generalisations of the results obtained to an abstract setting.
9 pages; Latex 2.09; submitted to Math. Notes

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/59975

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009195
 http://arxiv.org/abs/math/0009195

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arXiv