Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space

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.