Physics – Mathematical Physics
Scientific paper
2010-04-22
Physics
Mathematical Physics
36 pages
Scientific paper
By application of the coinduction method as well as Magri method to the ideal
of real Hilbert-Schmidt operators we construct the hierarchies of integrable
Hamiltonian systems on the Banach Lie-Poisson spaces which consist of these
type of operators. We also discuss their algebraic and analytic properties as
well as solve them in dimensions N=2,3,4.
Dobrogowska Alina
Odzijewicz Anatol
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