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On the similarity to self-adjoint operators. (English. Russian original) Zbl 1310.47030
Funct. Anal. Appl. 48, No. 4, 286-290 (2014); translation from Funkts. Anal. Prilozh. 48, No. 4, 65-70 (2014).
Summary: 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.
MSC:
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A55 Perturbation theory of linear operators
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