Other Representation Theorems in Linear Spaces
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In this chapter, we shall prove three representation theorems in linear spaces. The first one, the Krein-Milman theorem says that a non-void convex compact subset K of a locally convex linear topological space is equal to the closure of the convex hull of the extremal points of K. The other two theorems concern the representations of a vector lattice as point functions and as set functions.
KeywordsLinear Space Extremal Point Maximal Ideal Vector Lattice Representation Theorem
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