Geodesic
Geometry and Topology of Akilov's Beloved Spaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. А.7-А.10 Cet article a éte moissonné depuis la source Math-Net.Ru

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The answer is given to the question about the equivalence of the topologies generated by two complete norms in the same vector space. This question was raised in a personal letter from A. N. Kolmogorov to L. V. Kantorovich in 1935.
Keywords: Kantorovich's archive, Hamel basis, Bernstein theorem, Banach norms, Kolmogorov's question.
Mots-clés : Lebesque spaces 
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V. V. Ivanov. Geometry and Topology of Akilov's Beloved Spaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. А.7-А.10. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a36/

[1] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, Moskva, 1959 | MR