J Austral Math Soc Ser A 44 pp143--145, 1988.

Banach Algebras Which are a Direct Sum of Division Algebras

Antonio Fernandez Lopez and Eulalia Garcia Rus

(Received 2 December 1986)

Abstract

In this note it is proved that a (real or complex) semiprime Banach algebra A satisfying xAx = x²Ax² for every x Î A is a direct sum of a finite number of division Banach algebras.

1980 AMS Subject Classification: primary 16A48; secondary 46H20

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Authors

Antonio Fernandez Lopez
Eulalia Garcia Rus: Departamento de Algebra, Geometria y Topologia, Universidad de Malaga, 29080 Malaga, Spain.

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Last Modified: Wed Feb 19 10:27:48 2003