Detailed table of contents -- Some notations and conventions -- Classical involutive Lie algebras of finite rank operators -- Classical involutive Banach-Lie algebras and groups of bounded and compact operators -- Examples of infinite dimensional Hilbert symmetric spaces -- On the cohomology of the classical complex Lie algebras of compact operators

1. Mathematics
2. Topological groups
3. Lie groups
4. Mathematics
5. Topological Groups
6. Lie Groups
7. Mathematics
8. general