Author:
Giotopoulos S.,Roumeliotis M.
Abstract
AbstractIf A is a semiprime Banach algebra, soc A, rad A the socle and radical of A, then Soc A ∩ rad A = (0). This elementary result enables us to prove some results concerning algebraic ideal and algebraic elements modulo the socle of A. We also deduce several conditions for A equivalent to the condition dim A <+∞.
Publisher
Cambridge University Press (CUP)
Cited by
5 articles.
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