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On similarity of perturbed multiplication operators

Rostyslav O. Hryniv·Yaroslav V. Mykytyuk
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Abstract

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.

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Rostyslav O. Hryniv, Yaroslav V. Mykytyuk. 2000-09-21. On similarity of perturbed multiplication operators. https://arxiv.org/abs/math/0009195

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