University of Tehran
Journal of Sciences, Islamic Republic of Iran
10161104
5
1
1994
06
01
IDEAL J *ALGEBRAS

31380
EN
Journal Article
1970
01
01
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
https://jsciences.ut.ac.ir/article_31380_9d9445565a925df07e365566e8e4ea9d.pdf