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 -