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arxiv: math/0310312 · v1 · submitted 2003-10-20 · 🧮 math.SG · math.FA

Extensions of Banach Lie-Poisson spaces

classification 🧮 math.SG math.FA
keywords banachlie-poissonextensionalgebrasgivenspacespacesattention
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The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention. Semidirect products and the extension of the restricted Banach Lie-Poisson space by the Banach Lie-Poisson space of compact operators are given as examples.

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