Induced and coinduced Banach Lie-Poisson spaces and integrability

Tudor Ratiu
2008
Article

Résumé

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.

Source officielle

https://infoscience.epfl.ch/record/160562?ln=fr

À propos de ce résultat

Cette page est générée automatiquement et peut contenir des informations qui ne sont pas correctes, complètes, à jour ou pertinentes par rapport à votre recherche. Il en va de même pour toutes les autres pages de ce site. Veillez à vérifier les informations auprès des sources officielles de l'EPFL.

Induced and coinduced Banach Lie-Poisson spaces and integrability

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Structure-Preserving Reduced Basis Methods For Poisson Systems

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems

Structure-Preserving Reduced Basis Methods For Poisson Systems