Erik M. Alfsen | Researchain

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Archive | 1971

Structure of Compact Convex Sets

Erik M. Alfsen

A (partially) ordered vector space A (over ℝ) is said to be Archimedean if the negative elements a∈A− are the only ones for which {αa|α∈R+} has an upper bound. A vector subspace J of ordered vector space is said to be an order ideal if

Archive | 1971

Compact convex sets and boundary integrals

Erik M. Alfsen

Mathematica Scandinavica | 1964

On the Geometry of Choquet Simplexes.

Erik M. Alfsen

a,b \in J,{\text{ }}c \in A,{\text{ }}a \leqq c \leqq b \Rightarrow c \in J.

Mathematica Scandinavica | 1962

A Note in Compact Representations and Almost Periodicity in Topological Groups.

Erik M. Alfsen; Per Holm

Proceedings of The London Mathematical Society | 1968

Facial Structure of Compact Convex Sets

Erik M. Alfsen

(1.1)

Acta Mathematica | 1968

On the Dirichlet problem of the Choquet boundary

Erik M. Alfsen

Mathematica Scandinavica | 1965

On the Decomposition of a Choquet Simplex into a Direct Convex Sum of Complementary Faces.

Erik M. Alfsen

Mathematica Scandinavica | 1966

Boundary Values for Homomorphisms of Compact Convex Sets.

Erik M. Alfsen

Mathematica Scandinavica | 1966

A Note on the Borel Structure of a Metrizable Choquet Simplex and of its Extreme Boundary.

Erik M. Alfsen

Mathematica Scandinavica | 1958

On a General Theory of Integration Based On Order.

Erik M. Alfsen

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