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P. de la Harpe, "Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space"

Contents

0. Introduction ......................... I

Detailed table of contents .................. 16

Some notations and conventions ................ 21

Chapter I

Chapter II

Chapter III

Chapter IV

Classical involutive Lie algebra~ of finite

rank operators .................. 23

Classica~ involutive Banach-Lie algebras and

groups of bounded and compact operators ...... 72

Examples of infinite dimensional Hilbert

symmetric spaces ................. 115

On the cohomology of the classical complex Lie

algebras of compact operators ........... 134

V. Bibliography ........................ 147

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