This article is cited in 1 paper

Brief communications

On the Similarity to Self-Adjoint Operators

G. M. Gubreev, A. A. Tarasenko<sup>a

a</sup> Universidad Autónoma del Estado de Hidalgo

Abstract: 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.

UDC: 517.518

Received: 15.04.2013

DOI: 10.4213/faa3158

 English version: Functional Analysis and Its Applications, 2014, 48:4, 286–290

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