Induced and coinduced Banach Lie-Poisson spaces and integrability

被引：6
作者：
Odzijewicz, Anatol [3 ]
Ratiu, Tudor S. [1 ,2 ]
机构：
[1] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland
[2] Ecole Polytech Fed Lausanne, Bernoulli Ctr, CH-1015 Lausanne, Switzerland
[3] Univ Bialystok, Inst Math, PL-15424 Bialystok, Poland
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2008年 / 255卷 / 05期
关键词：
Banach Lie-Poisson space; Induction; Coinduction; Momentum map; Coadjoint orbit; Integrable Hamiltonian system;
D O I：
10.1016/j.jfa.2008.06.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1225 / 1272
页数：48
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