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Matematicheskie Zametki, 1969, Volume 5, Issue 3, Pages 297–304
(Mi mzm6848)
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The minimization property for spaces that are normed over semifields
A. I. Vasil'ev Ural State University
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
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
Linking options:
https://www.mathnet.ru/eng/mzm6848 https://www.mathnet.ru/eng/mzm/v5/i3/p297
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