Abstract
We recall the Chernoff-Marsden definition of weak symplectic structure and give a rigorous treatment of the functional analysis and geometry of weak symplectic Banach spaces. We define the Maslov index of a continuous path of Fredholm pairs of Lagrangian subspaces in continuously varying Banach spaces. We derive basic properties of this Maslov index and emphasize the new features appearing.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Annals of Global Analysis and Geometry |
Vol/bind | 44 |
Udgave nummer | 3 |
Sider (fra-til) | 283-318 |
Antal sider | 36 |
ISSN | 0232-704X |
DOI | |
Status | Udgivet - okt. 2013 |
Bibliografisk note
Submitted, 24 July, 2012, Accepted (with suggestions for changes), 28 November 2012, Revised 30 January, 2013, Fully accepted 31 January, 2013Emneord
- Closed relations
- Fredholm pairs of Lagrangians
- Maslov index
- Spectral flow
- Symplectic splitting
- Weak symplectic structure