Cartan subalgebras of Banach-Lie algebras of operators

Humberto Raul Alagia

Vol. 98 (1982), No. 1, 1–15

DOI: 10.2140/pjm.1982.98.1

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