Abstract
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.
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© 1978 Springer-Verlag Berlin Heidelberg
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Yosida, K. (1978). Other Representation Theorems in Linear Spaces. In: Functional Analysis. Grundlehren der mathematischen Wissenschaften, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96439-8_13
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DOI: https://doi.org/10.1007/978-3-642-96439-8_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-96441-1
Online ISBN: 978-3-642-96439-8
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