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| The Iteration Formulae of the Maslov-Type Index Theory in Weak Symplectic Hilbert Space |
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Citation： |
Li WU,Chaofeng ZHU.The Iteration Formulae of the Maslov-Type Index Theory in Weak Symplectic Hilbert Space[J].Chinese Annals of Mathematics B,2018,39(1):17~32 |
| Page view： 2010
Net amount： 1304 |
Authors： |
Li WU; Chaofeng ZHU |
Foundation： |
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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| 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 |
Classification： |
53D12, 58J30 |
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