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On the canonical embedding of a JB*‐triple into its bidual

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  • José M. Isidro

Abstract

We prove that the canonical embedding J:E→E∗∗ of a JB*‐triple E into its bidual E∗∗ extends uniquely to a manifold embedding J:G(BE)→G(BE∗∗) between the corresponding real Banach Lie groups of holomorphic automorphisms of their respective open unit balls BE and BE∗∗, the image J[G(BE)] being a closed (though not a direct) Lie subgroup of G(BE∗∗).

Suggested Citation

  • José M. Isidro, 2018. "On the canonical embedding of a JB*‐triple into its bidual," Mathematische Nachrichten, Wiley Blackwell, vol. 291(17-18), pages 2578-2584, December.
    • Handle: RePEc:bla:mathna:v:291:y:2018:i:17-18:p:2578-2584
    DOI: 10.1002/mana.201700193
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