Induction for weak symplectic Banach manifolds |
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| Authors: | Anatol Odzijewicz Tudor S Ratiu |
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| Institution: | 1. Institute of Mathematics, University of Bialystok, Lipowa 41, PL-15424 Bialystok, Poland;2. Section de Mathématiques and Bernoulli Center, École Polytechnique Fédérale de Lausanne. CH-1015 Lausanne, Switzerland |
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| Abstract: | The symplectic induction procedure is extended to the case of weak symplectic Banach manifolds. Using this procedure, one constructs hierarchies of integrable Hamiltonian systems related to the Banach Lie–Poisson spaces of k-diagonal trace class operators. |
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| Keywords: | 53D05 53D17 53Z05 37J35 46N20 46T05 |
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