The Maslov index in weak symplectic functional analysis
The Maslov index in weak symplectic functional analysis
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DOI：
10.1007/s10455-013-9367-z
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发表时间：
2013-01
影响因子：
0.7
通讯作者：
B. Booss-Bavnbek;C. Zhu
中科院分区：
文献类型：
--
作者：
B. Booss-Bavnbek;C. Zhu
我们回顾了弱辛结构的Schiff-Marsden定义，并给出了弱辛Banach空间的泛函分析和几何的严格处理。本文定义了连续变辛Banach空间中拉格朗日子空间的Fredholm对子的连续路径的Maslov指标。我们得出这个马斯洛夫指数的基本性质，并强调出现的新功能。
We recall the Chernoff-Marsden definition of weak symplectic structure and give a rigorous treatment of the functional analysis and geometry of weak symplectic Banach spaces. We define the Maslov index of a continuous path of Fredholm pairs of Lagrangian subspaces in continuously varying symplectic Banach spaces. We derive basic properties of this Maslov index and emphasize the new features appearing.