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Matematicheskie Zametki, 1969, Volume 5, Issue 3, Pages 297–304 (Mi mzm6848)  
The minimization property for spaces that are normed over semifields

A. I. Vasil'ev

Ural State University
Full-text PDF (663 kB)
Abstract: We show that if each nonempty subset of a space $X$, normed over a pair of topological semifields, has the minimization property, then $X$ is a real normed space (up to an isomorphism).
Received: 13.06.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 3, Pages 180–183
DOI: https://doi.org/10.1007/BF01388623
Bibliographic databases:
UDC: 517.83
Language: Russian
Citation: A. I. Vasil'ev, “The minimization property for spaces that are normed over semifields”, Mat. Zametki, 5:3 (1969), 297–304; Math. Notes, 5:3 (1969), 180–183
Citation in format AMSBIB
\Bibitem{Vas69}
\by A.~I.~Vasil'ev
\paper The minimization property for spaces that are normed over semifields
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 3
\pages 297--304
\mathnet{http://mi.mathnet.ru/mzm6848}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=243319}
\zmath{https://zbmath.org/?q=an:0181.13303}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 3
\pages 180--183
\crossref{https://doi.org/10.1007/BF01388623}
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