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عنوان
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WEAK AMENABILITY OF ULTRAPOWERS OF BANACH ALGEBRAS
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Ultrapower, ultra-weak amenability, ultra-amenability
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چکیده
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We study when weak amenability of Banach algebras are stable under the ultrapower constructions. We extend some general results of weak amenability of Banach algebras to their ultrapowers. A Banach algebra A is ultra-weakly amenable, if every ultrapower of it is weakly amenable. We further investigate the relationship between ultra-weak amenability, (weak)amenability, and ultra-amenability. We provide an example of an ultra-weakly amenable Banach algebra that is not amenable and vice versa.
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پژوهشگران
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وانیا خداکرمی (نفر اول)، اسمعیل فیضی (نفر دوم)
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