Some aspects of convexity
In conclusion, we find that the Krein-Milman theorem is a simply stated and geometrically pleasing fact, which has manifold applications. It is also a powerful theoretical result, and to see its full strength, it should be stated as a result about compact convex sets in a general (possibly infinite-dimensional)locally convex topological space. The interested reader is directed to such standard texts as  for further details.
KeywordsConvex Function Orthonormal Basis Linear Transformation Convex Subset Orthogonal Matrix
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