Email this article On One Class of Linear Operators in L2
- Authors: Korotkov V.B.1
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Affiliations:
- 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
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.
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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