On the facial structure of the unit ball of a GM-space (Q5903036)
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scientific article; zbMATH DE number 3942197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the facial structure of the unit ball of a GM-space |
scientific article; zbMATH DE number 3942197 |
Statements
On the facial structure of the unit ball of a GM-space (English)
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1987
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The set of norm semi-exposed faces of the unit ball \(V_ 1\) in a GM- space V 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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norm semi-exposed faces of the unit ball
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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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GL-space
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projective faces
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0.9999999
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0.9232514
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0.89809155
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0.89452255
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0.8766492
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0.8708488
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0.8703983
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