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Siberian Mathematical Journal

, Volume 60, Issue 1, pp 89–92 | Cite as

On One Class of Linear Operators in L2

  • V. B. KorotkovEmail author
Article

Abstract

We introduce the class B0 of linear operators in L2 satisfying the generalized von Neumann condition. Various sufficient conditions are established for the membership of operators in the class B0. Linear functional equations of the first and second kind in L2 with operators of class B0 are considered.

Keywords

closable operator limit spectrum generalized von Neumann condition linear functional equation of the first or second kind integral equation of the first or second kind 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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