TY - JOUR ID - 31380 TI - IDEAL J *-ALGEBRAS JO - Journal of Sciences, Islamic Republic of Iran JA - JSCIENCES LA - en SN - 1016-1104 Y1 - 1994 PY - 1994 VL - 5 IS - 1 SP - EP - DO - N2 - A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an ideal C *-algebra if and only if it is isomorphicto C (Q) for some discrete space ?. We investigate ideal J*-algebras and show that the above results can be generalized to that of .I*-algebras. Furthermore, it is proved that if A is an ideal ,J*-algebra, then sp(a* a) has no nonzero limit point for each a in A and consequently A has semifinite rank and is a restricted product of its simple ideals UR - https://jsciences.ut.ac.ir/article_31380.html L1 - https://jsciences.ut.ac.ir/article_31380_9d9445565a925df07e365566e8e4ea9d.pdf ER -