Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple (Q743198)
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scientific article; zbMATH DE number 6347093
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple |
scientific article; zbMATH DE number 6347093 |
Statements
Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple (English)
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23 September 2014
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This paper deals with the study of the facial structure of (complex) JB\(^*\)-triples and to its ``local'' version: the facial structure of the image of the space by the second Peirce projection associated to a compact tripotent of the bidual space. A description of the local facial structure corresponding to compact tripotents of the bidual is given. Also, criteria for norm-closed faces of the unit ball in a JB\(^*\)-triple to be norm-exposed are given.
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JB\(^*\)-triple
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norm-exposed face
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tripotent
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