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

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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. 
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     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/}
}
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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/