The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space

Abstract

The authors 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 a direct proof of the iteration formulae for the Maslov-type indices of symplectic paths is given.

Keywords

Maslov-type index / Positive path / Iteration formula

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