Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space / Pierre de la Harpe.

By: La Harpe, Pierre de
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 285.Publisher: Berlin ; New York : Springer-Verlag, 1972Description: 1 online resource (160 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540379706; 3540379703Subject(s): Lie algebras | Lie groups | Hilbert space | Banach algebras | Lie, Algèbres de | Lie, Groupes de | Hilbert, Espace de | Banach, Algèbres de | Banach algebras | Hilbert space | Lie algebras | Lie groups | Lie-groepen | Banachruimten | Hilbertruimten | Banach-AlgebraGenre/Form: Electronic books. Additional physical formats: Print version:: Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space.DDC classification: 512.815 LOC classification: QA3 | .L28 no. 285 | QA251Other classification: 31.23 | 31.46 Online resources: Click here to access online
Contents:
Introduction -- 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.
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Includes bibliographical references (pages 147-159).

Introduction -- 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.

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