Geodesic
On the Similarity to Self-Adjoint Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 65-70

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An approach to the similarity problem is presented, which is based on the notion of a $w$-perturbation of the Volterra operator and uses the theory of Muckenhoupt weights.
Keywords: similarity criteria, Muckenhoupt weight, $w$-perturbation of the Volterra operator, self-adjoint operator. 
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     author = {G. M. Gubreev and A. A. Tarasenko},
     title = {On the {Similarity} to {Self-Adjoint} {Operators}},
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G. M. Gubreev; A. A. Tarasenko. On the Similarity to Self-Adjoint Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 4, pp. 65-70. http://geodesic.mathdoc.fr/item/FAA_2014_48_4_a5/