# The Maslov index in weak symplectic functional analysis

@article{BoossBavnbek2013TheMI,
title={The Maslov index in weak symplectic functional analysis},
author={B. Booss-Bavnbek and Chaofeng Zhu},
journal={Annals of Global Analysis and Geometry},
year={2013},
volume={44},
pages={283-318}
}
• Published 2013
• Mathematics, Physics
• Annals of Global Analysis and Geometry
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 symplectic Banach spaces. We derive basic properties of this Maslov index and emphasize the new features appearing.

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