Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 6, Pages 17–23
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-2 (Mi vmumm4574) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Chebyshev subspaces of Dirichlet series

V. M. Fedorov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-6-2
Abstract: A. Haar and A. N. Kolmogorov found necessary and sufficient conditions under which finite-dimensional subspaces in the space of continuous functions on an arbitrary compact set are Chebyshev. In this paper, we prove that subspaces of Dirichlet series in the space of $C(0, \infty ]$ of continuous and bounded functions in the interval $(0, \infty )$ that have a limit at infinity form Chebyshev subspaces.
Key words: Chebyshev subspace, Dirichlet series, generalized Muntz formula, Stone–Cech compactification, support functional, functional carrier, conjugate space, Dirac functional.
Received: 05.05.2023
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 6, Pages 269–275
DOI: https://doi.org/10.3103/S0027132223060037
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. M. Fedorov, “Chebyshev subspaces of Dirichlet series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 6, 17–23; Moscow University Mathematics Bulletin, 78:6 (2023), 269–275
Citation in format AMSBIB
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\by V.~M.~Fedorov
\paper Chebyshev subspaces of Dirichlet series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 6
\pages 17--23
\mathnet{http://mi.mathnet.ru/vmumm4574}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-6-2}
\elib{https://elibrary.ru/item.asp?id=58422741}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 6
\pages 269--275
\crossref{https://doi.org/10.3103/S0027132223060037}
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