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The Poulsen simplex

Joram Lindenstrauss; Gunnar Olsen; Y. Sternfeld — 1978

Annales de l'institut Fourier

It is proved that there is a unique metrizable simplex $S$ whose extreme points are dense. This simplex is homogeneous in the sense that for every 2 affinely homeomorphic faces $F_{1}$ and $F_{2}$ there is an automorphism of $S$ which maps $F_{1}$ onto $F_{2}$ . Every metrizable simplex is affinely homeomorphic to a face of $S$ . The set of extreme points of $S$ is homeomorphic to the Hilbert space $ℓ_{2}$ . The matrices which represent $A (S)$ are characterized.

On the Classification of Complex Lindenstrauss Spaces.

Gunnar Hans Olsen — 1974

Mathematica Scandinavica

Edwards' separation theorem for complex Lindenstrauss spaces with application to selection and embedding Theorems.

Gunnar Hans Olsen — 1976

Mathematica Scandinavica

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