Banach Algebras Which are a Direct Sum of Division Algebras

Journal of the Australian Mathematical Society

Antonio Fernandez Lopez¹ 

[1] Eulalia Garcia Rus

关键词: primary 16 A 48;    secondary 46 H 20;   

DOI  :  10.1017/S1446788700029724

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown