Neighborhoods of extreme points
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Abstract
An examination of relationship between two neighborhood systems (relative to two linear topologies) of extreme points yields a unified approach to some known and new results, among which are Bessaga-Pełczyński’s theorem on closed bounded convex subsets of separable conjugate Banach spaces and Ryll-Nardzewski’s fixed point theorem.
Keywords
Banach Space Convex Hull Extreme Point Convex Subset Separable Banach Space
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References
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© Hebrew University 1967