Geodesic
Criteria of compact convex sets finite dimensionality
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 115-117

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Let $A$ be a compact convex subset of a locally convex $X$ space, $ E_n A,~n\geq1,$ be a set on $n$-extremaly points of the $A$ set. In the present note criteria of the $A$ set's finite dimensionality are formulated and proved in terms of the $E_n A$ sets.
Keywords: Locally convex $X$ space, set on $n$-extremaly points. 
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     title = {Criteria of compact convex sets finite dimensionality},
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G. A. Baghdasarova. Criteria of compact convex sets finite dimensionality. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 115-117. http://geodesic.mathdoc.fr/item/UZERU_2002_1_a6/