1 IMFUFA, Department of Science and Environment, Roskilde University2 The Department of Science, Systems and Models, Roskilde University3 Nankai University
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.
Annals of Global Analysis and Geometry, 2013, Vol 44, Issue 3, p. 283-318