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Chebyshev Subspaces of Dirichlet Series

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Moscow University Mathematics Bulletin Aims and scope

Abstract

Haar and Kolmogorov found the 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, it is proved that subspaces of Dirichlet series form Chebyshev subspaces in the space of \(\mathbf{C}(0,\infty]\) of continuous and bounded functions in the interval \((0,\infty)\) that have a limit at infinity.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Chair of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    V. M. Fedorov

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  1. V. M. Fedorov
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Correspondence to V. M. Fedorov.

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Translated by E. Oborin

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Fedorov, V.M. Chebyshev Subspaces of Dirichlet Series. Moscow Univ. Math. Bull. 78, 269–275 (2023). https://doi.org/10.3103/S0027132223060037

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