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.
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The authors would like to thank the referees for their critical reading and very helpful comments and suggestions.
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This work was supported by the National Natural Science Foundation of China (Nos. 11221091, 11471169) and the Key Laboratory of Pure Mathematics and Combinatorics, the Ministry of Education of China.
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Wu, L., Zhu, C. The iteration formulae of the Maslov-type index theory in weak symplectic Hilbert space. Chin. Ann. Math. Ser. B 39, 17–32 (2018). https://doi.org/10.1007/s11401-018-1048-6
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DOI: https://doi.org/10.1007/s11401-018-1048-6