Iteration formulae of the Maslov-type index theory in weak symplectic Hilbert spaces
classification
🧮 math.DS
math.SG
keywords
symplecticmaslov-typeformulaehilbertindicesiterationpathssplitting
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In this paper, we prove a splitting formula for the Maslov-type indices of symplectic paths induced by the splitting of the nullity in weak symplectic Hilbert space. Then we give a direct proof of iteration formulae for the Maslov-type indices of symplectic paths.
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