TY - JOUR
TI - ALGEBRAIC IDEALS OF SEMIPRIME BANACH-ALGEBRAS
AU - GIOTOPOULOS, S
AU - ROUMELIOTIS, M
JO - Glasgow Mathematical Journal
PY - 1991
VL - 33
TODO - 3
SP - 359-363
PB - Oxford Univ Press, Oxford, United Kingdom
SN - 0017-0895, 1469-509X
TODO - 10.1017/S0017089500008429
TODO - null
TODO - If A is a semiprime Banach algebra, soc A, rad A the socle and radical
of A, then soc A intersect 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 < + infinity.
ER -