Volume 18, Issue 48 (No.3&4-صفحات انگلیسی از 149 تا 170 2007)
2007, 18(48): 146-154 |
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Contractibility and idempotents in Banach algebras. Journal title 2007; 18 (48) :146-154
URL: http://jsci.khu.ac.ir/article-1-1187-en.html
URL: http://jsci.khu.ac.ir/article-1-1187-en.html
Abstract: (6033 Views)
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.
Keywords: Contractible Banach algebras, Minimal idempotent
Published: 2007/02/15
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