Abstract:
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.
Fulltext:
PDF file (1066 kB)
