Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 361-369
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R. I. Pimenov. Necessary and sufficient conditions for the linearity of transformations which preserve cones. Matematičeskie zametki, Tome 6 (1969) no. 4, pp. 361-369. http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a0/
@article{MZM_1969_6_4_a0,
author = {R. I. Pimenov},
title = {Necessary and sufficient conditions for the linearity of transformations which preserve cones},
journal = {Matemati\v{c}eskie zametki},
pages = {361--369},
year = {1969},
volume = {6},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a0/}
}
TY - JOUR
AU - R. I. Pimenov
TI - Necessary and sufficient conditions for the linearity of transformations which preserve cones
JO - Matematičeskie zametki
PY - 1969
SP - 361
EP - 369
VL - 6
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a0/
LA - ru
ID - MZM_1969_6_4_a0
ER -
%0 Journal Article
%A R. I. Pimenov
%T Necessary and sufficient conditions for the linearity of transformations which preserve cones
%J Matematičeskie zametki
%D 1969
%P 361-369
%V 6
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_4_a0/
%G ru
%F MZM_1969_6_4_a0
We find a criterion for the linearity of mappings, preserving equal and parallel cones, in one of the exceptional cases to which the theorem of A. D. Aleksandrov does not extend.
