The Maslov index in weak symplectic functional analysis |
| |
Authors: | Bernhelm Booß-Bavnbek Chaofeng Zhu |
| |
Institution: | 1. Department of Science, Systems and Models/IMFUFA, Roskilde University, 4000, Roskilde, Denmark 2. Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, 300071, People’s Republic of China
|
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|