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.
References
J. von Neumann, Ann. of Math., 50 (1949), 401–485.
P. Borodin and E. Kopecká, J. Approx. Theory, 260 (2020).
L. Jones, Ann. Stat., 15:2 (1987), 880–882.
V. Temlyakov, Greedy Approximation, Cambridge University Press, Cambridge, 2011.
R. A. DeVore and V. N. Temlyakov, Adv. Comput. Math., 5:2–3 (1996), 173–187.
A. V. Silnichenko, Mat. Zametki, 76:4 (2004), 628–632; English transl.: Math. Notes, 76:4 (2004), 582–586.
E. D. Livshitz, Izv. RAN, Ser. Mat., 73:6 (2009), 125–144; English transl.: Izv. Math., 73:6 (2009), 1197–1215.
Acknowledgments
The authors are grateful to the referee for finding an error in the original version of the article.
Funding
This work was supported by the Russian Science Foundation under grant no. 22-21- 00415.
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Translated from Funktsional'nyi Analiz i ego Prilozheniya, 2023, Vol. 57, pp. 100–105 https://doi.org/10.4213/faa4067.
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Translated by P. A. Borodin
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Borodin, P.A., Burusheva, L.S. A Convergence Rate Estimate for Remotest Projections on Three Subspaces. Funct Anal Its Appl 57, 164–168 (2023). https://doi.org/10.1134/S0016266323020077
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DOI: https://doi.org/10.1134/S0016266323020077