Optimal recovery of mappings, optimal information operators, and extremal subspaces

UDC 517.5 We consider the problems of optimal recovery of an operator $A$ (generally speaking, nonlinear) defined on a unit ball $B_H$ of the Hilbert space $H$ based on the information about elements of this unit ball $B_H$ given by a linear bounded operator $T\colon H\to Y,$ where $Y$ is a Banach s...

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Bibliographic Details
Date:2026
Main Authors: Babenko, V., Babenko, Yu., Parfinovych, N., Бабенко, Владислав, Бабенко, Юлія, Парфінович, Наталія
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8942
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal