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Banach Algebras Which are a Direct Sum of Division Algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
In this note it is proved that a (real or complex) semiprime Banach algebra A satisfying xAx = x2Ax2 for every x ∈ A is a direct sum of a finite number of division Banach algebras.
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- Copyright © Australian Mathematical Society 1988