Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 297-304
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A. I. Vasil'ev. The minimization property for spaces that are normed over semifields. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 297-304. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a2/
@article{MZM_1969_5_3_a2,
author = {A. I. Vasil'ev},
title = {The minimization property for spaces that are normed over semifields},
journal = {Matemati\v{c}eskie zametki},
pages = {297--304},
year = {1969},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a2/}
}
TY - JOUR
AU - A. I. Vasil'ev
TI - The minimization property for spaces that are normed over semifields
JO - Matematičeskie zametki
PY - 1969
SP - 297
EP - 304
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a2/
LA - ru
ID - MZM_1969_5_3_a2
ER -
%0 Journal Article
%A A. I. Vasil'ev
%T The minimization property for spaces that are normed over semifields
%J Matematičeskie zametki
%D 1969
%P 297-304
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a2/
%G ru
%F MZM_1969_5_3_a2
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).
