An extension of a theorem of Nicolaescu on spectral flow and the Maslov index

被引：7
|
作者：
Daniel, M [1 ]
机构：
[1] Sci Applicat Int Corp, Appl Phys Operat, Mclean, VA 22102 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 02期
关键词：
spectral flow; Maslov index; Lagrangian subspace;
D O I：
10.1090/S0002-9939-99-05002-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we extend a theorem of Nicolaescu on spectral ow and the Maslov index. We do this by studying the manifold of Lagrangian subspaces of a symplectic Hilbert space that are Fredholm with respect to a given Lagrangian L-0. In particular, we consider the neighborhoods in this manifold of Lagrangians which intersect L-0 nontrivially.
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页码：611 / 619
页数：9
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