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Separate weak*-continuity of the triple product in dual real JB*-triples

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Abstract.

We prove that, if E is a real JB*-triple having a predual \(E_{*_{}},\) then \(E_{*_{}}\) is the unique predual of E and the triple product on E is separately $\sigma (E,E_{*_{}})-$continuous.

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Authors and Affiliations

  1. Dept. Análisis Matemático, Ftad. de Ciencias, Universidad de Granada, 18071 Granada, Spain (e-mail:{jmmoreno,aperalta}@goliat.ugr.es) , , , , , , ES

    Juan Martínez & Antonio M. Peralta

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  1. Juan Martínez
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  2. Antonio M. Peralta
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Received February 1, 1999; in final form March 29, 1999 / Published online May 8, 2000

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Martínez, J., Peralta, A. Separate weak*-continuity of the triple product in dual real JB*-triples. Math Z 234, 635–646 (2000). https://doi.org/10.1007/s002090050002

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  • DOI: https://doi.org/10.1007/s002090050002

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