Iteration formulae of the Maslov-type index theory in weak symplectic Hilbert spaces

Published 4 Jul 2016 in math.DS and math.SG | (1607.00707v1)

Abstract: 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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