Vol. 98, No. 1, 1982

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Cartan subalgebras of Banach-Lie algebras of operators

Humberto Raul Alagia

Vol. 98 (1982), No. 1, 1–15
Abstract

A method to determine the Cartan subalgebras of certain real Banach-Lie algebras of operators is described. The algebras in question are the real, simple, separable, infinite dimensional L-algebras, realized as algebras of Hilbert-Schmidt operators.

Mathematical Subject Classification 2000
Primary: 17B65
Secondary: 46L99, 47D25
Milestones
Received: 9 July 1980
Published: 1 January 1982
Authors
Humberto Raul Alagia