English

Extensions of Banach Lie-Poisson spaces

Symplectic Geometry 2007-05-23 v1 Functional Analysis

Abstract

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. Semidirect products and the extension of the restricted Banach Lie-Poisson space by the Banach Lie-Poisson space of compact operators are given as examples.

Keywords

Cite

@article{arxiv.math/0310312,
  title  = {Extensions of Banach Lie-Poisson spaces},
  author = {Anatol Odzijewicz and Tudor Ratiu},
  journal= {arXiv preprint arXiv:math/0310312},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-07-22T16:58:50.308Z