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math.SG2003★ 1 cited
Extensions of Banach Lie-Poisson spaces
Anatol Odzijewicz, Tudor Ratiu
The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention.…
math.SG2003
The Banach Poisson geometry of multi-diagonal Toda-like lattices
Anatol Odzijewicz, Tudor Ratiu
The Banach Poisson geometry of multi-diagonal Hamiltonian systems having infinitely many integrals in involution is studied. It is shown that these systems can be considered as gen…
math.SG2003
The relation between local and global dual pairs
James Montaldi, Juan-Pablo Ortega, Tudor S. Ratiu
In this note we clarify the relationship between the local and global definitions of dual pairs in Poisson geometry. It turns out that these are not equivalent. For the passage fro…