Induced and coinduced Banach Lie-Poisson spaces and integrability

The Poisson induction and coinduction procedures are used to construct Banach Lie-Poisson spaces as well as related systems of integrals in involution. This general method applied to the Banach Lie-Poisson space of trace class operators leads to infinite Hamiltonian systems of k-diagonal trace class operators which have infinitely many integrals. The bidiagonal case is investigated in detail. (C) 2008 Elsevier Inc. All rights reserved.


Published in:
Journal Of Functional Analysis, 255, 1225-1272
Year:
2008
ISSN:
0022-1236
Keywords:
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 Record created 2010-11-30, last modified 2018-09-13

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