Geodesic
A complete description of convex bodies possessing the Markov property
Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 733-740.

Voir la notice de l'article provenant de la source Math-Net.Ru

A necessary and sufficient condition is derived (in terms of supporting functionals) for a closed convex body in a partially ordered Banach space to possess “Markov's property”: $a\prec c\prec b$, $a\in K$, $b\in K$, then $c\in\mathrm{Int}\,K$. Our criterion enables us to express certain analytic results in geometrical form. 
@article{MZM_1970_8_6_a5,
     author = {A. A. Nudel'man},
     title = {A complete description of convex bodies possessing the {Markov} property},
     journal = {Matemati\v{c}eskie zametki},
     pages = {733--740},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a5/}
}
TY  - JOUR
AU  - A. A. Nudel'man
TI  - A complete description of convex bodies possessing the Markov property
JO  - Matematičeskie zametki
PY  - 1970
SP  - 733
EP  - 740
VL  - 8
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a5/
LA  - ru
ID  - MZM_1970_8_6_a5
ER  - 
%0 Journal Article
%A A. A. Nudel'man
%T A complete description of convex bodies possessing the Markov property
%J Matematičeskie zametki
%D 1970
%P 733-740
%V 8
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a5/
%G ru
%F MZM_1970_8_6_a5
A. A. Nudel'man. A complete description of convex bodies possessing the Markov property. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 733-740. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a5/