On similarity of perturbed multiplication operators

Details On similarity of perturbed multiplication operators On similarity of perturbed multiplication operators

2000-09-21

arxiv.org/abs/math/0009195v1

Mathematics

Functional Analysis

9 pages; Latex 2.09; submitted to Math. Notes

Scientific paper

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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