On One Class of Linear Operators in  L  2

V. B. Korotkov

doi:10.1134/S0037446619010105

On One Class of Linear Operators in L₂

Authors: Korotkov V.B.¹
Affiliations:
1. Sobolev Institute of Mathematics
Issue: Vol 60, No 1 (2019)
Pages: 89-92
Section: Article
URL: https://journals.rcsi.science/0037-4466/article/view/172206
DOI: https://doi.org/10.1134/S0037446619010105
ID: 172206

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Abstract
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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

About the authors

V. B. Korotkov

Sobolev Institute of Mathematics

Author for correspondence.
Email: smj@math.nsc.ru
Russian Federation, Novosibirsk

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