Extensions of Banach Lie-Poisson spaces |
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| Authors: | Anatol Odzijewicz |
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| Affiliation: | a Institute of Physics, University of Bialystok, Lipowa 41, PL-15424 Bialystok, Poland
b Centre Bernoulli, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland |
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| Abstract: | 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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| Keywords: | 46L10 46T05 46T20 53D17 53Z05 |
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