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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2023 Volume 57, Issue 2, Pages 100–105 (Mi faa4067)
Brief communications

A convergence rate estimate for remotest projections on three subspaces

P. A. Borodinab, L. Sh. Burushevab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics

Abstract: We give an estimate of the rate of convergence to zero of the norms of remotest projections on three subspaces of a Hilbert space with zero intersection for starting vectors in the sum of orthogonal complements to these subspaces.

Keywords: Hilbert space, remotest projections, greedy approximations, convergence rate.

Received: 03.11.2022
Revised: 27.02.2023
Accepted: 06.03.2023

DOI: 10.4213/faa4067


 English version: Functional Analysis and Its Applications, 2023, 57:2, 164–168

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© Steklov Math. Inst. of RAS, 2025