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A new proof of the Barton–Timoney theorem on the bidual of a JB∗‐triple

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  • Ángel Rodríguez Palacios
  • Miguel Cabrera García

Abstract

By deeply refining previous results of Dineen [8], Barton and Timoney [2] proved that the bidual of any JB∗‐triple J becomes a JB∗‐triple under a triple product which extends that of J and is separately w∗‐continuous. In this note we give a simpler new proof of the above theorem.

Suggested Citation

  • Ángel Rodríguez Palacios & Miguel Cabrera García, 2019. "A new proof of the Barton–Timoney theorem on the bidual of a JB∗‐triple," Mathematische Nachrichten, Wiley Blackwell, vol. 292(3), pages 640-644, March.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:3:p:640-644
    DOI: 10.1002/mana.201800243
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