Title of article
Induced and coinduced Banach Lie–Poisson spaces and integrability
Author/Authors
Grzegorz Jakimowicz and Anatol Odzijewicz، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
48
From page
1225
To page
1272
Abstract
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.
© 2008 Elsevier Inc. All rights reserved
Keywords
induction , Banach Lie–Poisson space , Coinduction , IntegrableHamiltonian system , Coadjoint orbit , momentum map
Journal title
Journal of Functional Analysis
Serial Year
2008
Journal title
Journal of Functional Analysis
Record number
839696
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