Norm preserving extensions in JBW*-triple preduals (Q2730921)
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scientific article; zbMATH DE number 1625245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Norm preserving extensions in JBW*-triple preduals |
scientific article; zbMATH DE number 1625245 |
Statements
9 May 2002
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JBW*-algebras
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JBW*-triples
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norm-preserving extension
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weak * continuous linear functional
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strong * topology
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0.86216515
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0.8587915
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0.8534633
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0.8474752
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0.8470186
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0.8451912
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0.84440297
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0.8407052
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Norm preserving extensions in JBW*-triple preduals (English)
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In the paper, the author proved that each weak * continuous linear functional on a JBW-triple \(N\) of a JBW*-triple \(M\) has a norm-preserving extension to a weak * continuous linear functional on \(M\). This question was raised in [\textit{A. Rodriguez-Palacios}, On the strong * topology of a JBW*-triple, Q. J. Math., Oxf., II. Ser. 42, No. 165, 99-103 (1991; Zbl 0723.17026)].
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