The Maslov index in weak symplectic functional analysis
Booss-Bavnbek, Bernhelm · Zhu, Chaofeng
Differential Geometry
High Energy Physics - Theory
Functional Analysis
Symplectic Geometry
Spectral Theory
Primary 53D12, Secondary 58J30
الأصل · EN
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.
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