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The Quarterly Journal of Mathematics Advance Access published online on October 14, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap032
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© The author 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

BANACH-LIE ALGEBRAS WITH EXTREMAL ELEMENTS

Antonio Fernández López{dagger}

Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, 29071, Málaga, Spain

{dagger} E-mail: emalfer{at}agt.cie.uma.es

Received 7 April 2009;
  Abstract

In this paper strongly prime Banach-Lie algebras with extremal elements are described. They turn out to be natural extensions of the classical Banach-Lie algebras of compact operators on Hilbert spaces.

Dedicated to Professor El Amin Kaidi on the occasion of his 60th birthday


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