TY - JOUR
T1 - Contractibility and idempotents in Banach algebras
TT - جبرهای باناخ انقباض پذیر
JF - jsci
JO - jsci
VL - 18
IS - 48
UR - http://jsci.khu.ac.ir/article-1-1187-en.html
Y1 - 2007
SP - 146
EP - 154
KW - Contractible Banach algebras
KW - Minimal idempotent
N2 - Let be a Banach algebra. It is shown that a contractible ideal of a Banach algebra is complemented by its annihilator. Then, it is proved the existence of minimal central idempotents in a contractible Banach algebra with a nonzero character. Moreover, the notion of b-contractibility and one of its equivalent forms are introduced. Throgh an example, it is shown that b-contractibility is strictly weaker than contractibility.
M3
ER -