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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2002 Issue 1, Pages 115–117 (Mi uzeru553)

Communications
Mathematics

Criteria of compact convex sets finite dimensionality

G. A. Baghdasarova

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: 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.

UDC: 517.5

Received: 06.11.2001
Accepted: 20.03.2002



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