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weak amenability of ultrapowers of banach algebras
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نویسنده
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khodakarami vania ,feizi esmaeil
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منبع
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mathematical analysis and convex optimization - 2024 - دوره : 5 - شماره : 1 - صفحه:109 -115
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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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کلیدواژه
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ultrapower ,ultra- weak amenability ,ultra-amenability
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آدرس
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bu-ali sina university, department of mathematics, iran, bu-ali sina university, department of mathematics, iran
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پست الکترونیکی
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efeizi@basu.ac.ir
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Authors
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