On the facial structure of the unit ball of a GM-space (Q5903361)
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scientific article; zbMATH DE number 3990089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the facial structure of the unit ball of a GM-space |
scientific article; zbMATH DE number 3990089 |
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On the facial structure of the unit ball of a GM-space (English)
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1986
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The set of norm semi-exposed faces of the unit ball \(V_ 1\) in a GM- space is identified in the case in which V satisfies a certain filtering condition and \(V^*\), the dual of V, satisfies the Alfsen-Shultz condition. The class of partially ordered Banach spaces to which the result applies includes all strongly spectral GM-spaces and therefore all JB-algebras.
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GL-space
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projective faces
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norm semi-exposed faces
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Alfsen-Shultz condition
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partially ordered Banach spaces
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strongly spectral GM-spaces
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JB-algebras
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