The best approximation of closed operators by bounded operators in Hilbert spaces

We solve the problem of the best approximation of closed operators by linear bounded operators in Hilbert spaces under assumption that the operator transforms orthogonal basis in Hilbert space into an orthogonal system. As a consequence, sharp additive Hardy-Littlewood-Pólya type inequality for mult...

Full description

Bibliographic Details
Main Authors: V.F. Babenko, N.V. Parfinovych, D.S. Skorokhodov
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2022-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/6161