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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages А.7–А.10 (Mi semr300)  
Mathematical life

Geometry and Topology of Akilov's Beloved Spaces

V. V. Ivanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: 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, Lebesque spaces, Banach norms, Kolmogorov's question.
Received January 20, 2011, published January 21, 2011
Document Type: Information matherial
UDC: 517.98
MSC: 46B04
Language: Russian
Citation: V. V. Ivanov, “Geometry and Topology of Akilov's Beloved Spaces”, Sib. Èlektron. Mat. Izv., 8 (2011), А.7–А.10
Citation in format AMSBIB
\Bibitem{Iva11}
\by V.~V.~Ivanov
\paper Geometry and Topology of Akilov's Beloved Spaces
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages А.7--А.10
\mathnet{http://mi.mathnet.ru/semr300}
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